If you translate his teachings into political arguments they often are aligned with left-wing ideology and not right-wing. But there are exceptions. I do not believe in the whole left versus right dichotomy as good vs bad, or even really think it should stay around.
I have quoted Jesus Christ and been labeled a "liberal" or a "commie" and the irony is hilarious to me. When I came to that conclusion if quoting Jesus himself causes hateful and ignorant people to call you a socialist or communist, maybe socialism is the answer and what Jesus would've taught.
You have a great misunderstanding.
Let's start with 1 example. God created 2 genders, but leftists push for this endless gender ideology and you can be whatever you want.
How do these 2 things line up?