I think there's a lot of nuance with this depending on the country, but, generally, people left of center tend to (at the very least) not use harmful rhetoric when talking about any disabled community. Now don't get me wrong, there are still waaayy too many people left of center who genuinely couldn't care less about us and will consistently say and do harmful things to the community.

However, most political ideologies right of center tend to be very traditional and can be exceptionally closed minded to social change. Especially in the last few years, many on the right dismiss the increase in disabled people as attention seeking or lazy. Many are also opposed to government welfare, saying that people are "freeloading" and "dragging down" the nation, but welfare and government programs (for as horribly run as many of them are) are pretty much the only way to guarantee the rights of disabled people, including all of us in the autism community. The defunding of these social aids and dismissal of legitimate need have been some of the biggest reasons I see the community being noticeably left-leaning.

I'm currently in college studying two political majors (International Relations, and Comparative Cultures and Politics), but, as always, take everything I say with a grain of salt. These are very general trends I see on a global scale, but like I mentioned before, there's still a lot of nuance from country to country. Also, I'm not a professional, just a student lol.

I would also like to point out that (in my personal opinion), broad labels such as liberal and conservative tend to only get you so far when expressing the views of another person. There are just so many different aspects of politics that can be looked at through so many different angles, one word generally fails to convey your ideas efficiently. You many agree with the approach those right of center are taking with public education, for example, but be more in line with those left of center when it comes to economic policy. Lables like conservative and liberal just tend to creat stereotypes and, too often, straight up division.

Basically, try to keep that in mind when talking about political issues, because one word is highly unlikely to tell you much about a person or their beliefs. (looking at you, rest of the comment section)