I have a sample of autistic and allistic people on Prolific that I gave a fragment of the autism spectrum quotient, empathy quotient, systemizing quotient, and sensory perception quotient.

If you want, I can give you their Prolific IDs to set up a followup study of their political views. I will publish the data soon, but I can also give you the data before I publish it more broadly, for convenience.

This is a clear yes. Refer to Jonathan Haidt's research on libertarian psychology. Libertarians score the lowest on EQ (Empathy Quotient) and the highest on SQ (Systemizing Quotient) among all political groups. In fact, libertarians were the only group whose Systemizing was higher than Empathizing (SQ > EQ). Extreme versions of this imbalance can be found in autism. As for a correlation between AQ (Autism Quotient) and libertarianism, it's harder to extrapolate, but I would still guess yes.

How would you resolve this?

@samb Yeah, it's going to be difficult to resolve unless someone does a study, which probably isn't going to happen.

Seems not: https://georgefrancis.substack.com/p/autism-libertarianism-and-the-political-fringe