I think INTJ, INFJ, ENTP or INTP for a Inquisitive-Systematic thinker.

Analytical: Organized, planful, methodical (ISTJ, ENTJ, ESTJ, INTP, ISFJ, ESFJ) (Si, Ti, Ni, Te)
Inquisitive: Curious, asks questions, probes deeply (INFJ, INTJ, INTP, INFP, ENTP, ENFP, ISFP, ISTP) (Ni, Ne, Fi, Ti)
Insightful: Steadfast, thinks before speaking, perseveres (ISTP, INTP, ISFP, ISTJ, INTJ) (Ti, Se)
Open-Minded: Good listener, respects differences, adaptable (ESFJ, ISFJ, INFP, ISFP, ENFP, ENFJ, INFJ) (Fi, Fe)
Systematic: Strategic, connects ideas, sees the big picture (INTJ, INFJ, ENTP, ENFP, INFP) (Ni, Ne)
Timely: Mobilizes resources, multitasks, takes initiative (ESTP, ISFP, ESFP, ISTP, ENTJ, ESTJ) (Se, Te, Ti)
Truth-Seeking: Frank, independent, asks the tough questions (INFP, ISFP, INTP, ISTP) (Fi, Ti)

I'm just guessing of course.

 

What MBTI would you ascribe someone who is an inquisitive-systemic thinker?

I think those would be the INTJs.
And INTPs sound more like inquisitive-analytical.

I think INFJs would be open-minded-systematic. If I'm understanding this right. ^^

 

I'm an autistic INFP. I don't think. I just brood over countless memories of harassment. The ones that sound most like me are open-minded except people say I'm not good at listening, timely except I never take initiative, and truth-seeking except I'm extremely dependent.

 

not all of them are thinking methods.

 

1 - Open-Minded - Open-minded people can be described as intellectually tolerant and fair minded.
2 - Inquisitive - Inquisitive people can be described as curious, alert, and interested in their surrounding world.
3 - Systematic - Systematic people can be described as conceptual, process oriented, and intuitive.
4 - Truth Seeking - Truth seekers can be described as independent, tough minded, and skeptical.
5 - Insightful - Insightful people can be described as prudent, humble, and reflective.
6 - Timely - Timely people can be described as efficient, reliable, and responsive.
7 - Analytical - Analytical people can be described asclear-thinking, orderly, and planful.

The above are my rankings. My preferred Thinking Styles are Open-Minded and Inquisitive.