I agree with
@AimfortheBrain in some respects. It's particulary difficult to type someone when you mostly see them when they are angry. That said, if you feel that learning thier type is especially important to resolving/navigating your conflicts, I'd be happy to help. If you could give me some specific details about your parents relating to Fi/Fe Ti/Te etcetc would be especially helpful.
I also have opposite parents who I don't relate to (INTP dad and ESFJ mom. I'm INFJ (i think). My brother ENTP. We are a motely crew, we are.) I tried typing them for a similar reason when I was about 15. It was not specially helpful. I found that learning thier enneagram was much more useful. Just a tip.
I'm guessing you're an NP user right now, but I don't know enough about you from you to know more. Possible ENFP, maybe INTP? (the part about not feeling like you have strong morals?? hhmm) (Also, boy meets wolrd is my SHOW. love it.)
Anyway. More info please!
I'm not really angry, it's more of..... I know we don't get along, so I thought it would be interesting to find out there MBTI type. I don't think irrationally with anger or anything, so I'm not one to come on here and rant about anything. Curiosity just got the better of me so I decided to post a thread.
My father seems to use Fe, as he is very personable, loves people, makes everyone feel included and call them his friend. On another note be believe everyone had one way of looking at something, and whoever doesn't, is crazy. Or would be crazy because he doesn't even accept the possibility of someone not thinking something he thinks to be true.
Te/Ti I'm not sure about at all..... being as it is probably not his first or second function, which again I don't know, but maybe that's why I can't really choose one.
I think my mother could use Te.. and with the F i'm not really sure of either because I'm also assuming with her it may be more towards the end of her functions, so it's not as prominent.
More about me......
I'm not sure how stereotypically "Fe" come off. I don't really bend the truth, or sugar coat things. If you ask me a questions I try to answer as honestly as possible. I've heard INFJs could change or sugar coat the truth in order to not upset someone. I on the other hand, will say something like "Okay well I don't want to tell you -_-

..... I don't want to upset you." And that'd be it.. If I tell them I warned them.
I can completely block out everything around me at whim. Like I could be in the car with someone, and a song that I don't feel like listening to plays....... I can literally go into this trance where all I am doing is maneuvering the car physically, but I am so in my mind that I cannot hear what is around me. Another good example would be at restaurants. If I'm talking to someone, all I hear is them most of them time. Sometimes I pay attention to the things around me and they become loud and unbearable, hence why I block it out. But mostly I just hear them speakings, not things around me.
Other things about me that I am not sure what type or functions they sound like......
I go in depth with mostly everything. I get along with INTPs fairly well, and there explanations are awesome for me. I like explanations that make some type of sense. If you explain something and it doesn't correlate with another explanation you gave me I quickly notice, and it's like... um.. that makes no logical sense. You said this.... But then.. that's contradicting... what? And by this point the person is annoyed at me. Getting an explanation that it's just a vibe or a gut feeling, doesn't work for me if I want an actual explanation that can be explained.
I cannot stand contradictions, even if I may have them here and there (Which is usually due to someones misunderstanding of what I said.) But I very much notice them, and I don't understand how they happen in a way.
I've heard I was hard headed, but I pretty much just go along with things, without making a fuss. If people want to go to eat somewhere I don't want, I just say it's fine, because it technically is, I'm sure I can find something. I know people that refuse to go places just because. I'm more let live in those kind of moments.
It's hard for me to get things down into verbal words, things make a lot more sense in my head then coming from me when I try speaking.
Depending on the types I look into I usually find something off. For INFJ it's this idea of Fe. INFPs, I'm not high on my morals,for Ti i'm not sure logical is my first thing.. thought it could be, but etc. This is where is gets difficult....
I hear I think very logical.
I have heard the contrary before also, though not as often.
Typical, but I dislike being around people, and my room is my haven.
Typical again, but I'm super detached... from everything around me, the world, feelings sometimes. It's feels sort of like I'm a brain stuck with a body. It's a feeling i've had my entire life, but I'm sure there is a better feeling than this.... Perceiving everything around me, being here in some way, living, and in the now every now and then would be awesome.
I've been told I give "witty" responses, and say quick sarcastic remarks, that are like somewhat reminiscent of Chandler from Friends.' (Only example I could think of.)
If I hear a song to much or talk about the past to much, it can kinda bring me back to the feel of that time and place I am talking about. It doesn't feel great usually, even if it was a good time. It goes away though.
I over think everything, the workings of everything, why things are the way they are. I think about human kind, and all of this, as natural as it is, would be great if I could control when I think about it, or when I think period. My brain is on overdrive all day it seems. Wikipedia and the internet are my best friends.
I research what I'm eating or something I'm using to find the history about it, and so not I know more about whatever it is I'm utilizing.
I tend to act opposite than the person. So if someone is really hyper and loud, usually I'll be quiet, but if the person is really quite then I can talk more and be a bit more silly. Not sure why. Two loud playful people doesn't seem like something I would like to cause maybe. Neither is two extremely shy quiet ones. So I do whatever they aren't. Not always, but just something I've noticed. if we're bot average then that doesn't happen obviously, and I can act the same way they act in the examples I give, depending, but usually not.
A function I think I use highly is Ti. Just from what i've read and know. I'm pretty big on things making sense, picking it apart and trying to understand it thourougly. I'm just not sure what my main thing is.
When I take functions tests I score high on Ni, Ti, Fi, and lastly Si. I agree with those myself, and I get them as results on my tests too, and not really any of the extroverted functions descriptions except maybe Ne somewhat. That's about it though, and I know it's not possible according to MBTI to have all introverted functions as the top 4.
I'm not that moody or emotional, I don't think. I can watch the news and not care as mean as it sounds. When I was little I would tell my mother I care about animals.. not this. I detach myself.
I don't feel mushy or nice when I see nice things around me, they just are.. Romantic things on tv, or nice gestures, or babies, or anything. Nothing makes me feel anything like "aw". I can pretend and show it with a gesture, but it'll probably come off sarcastic

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(I loved Boy Meets World too, and I still do

)