In my case, dating and social interaction are irrational, so how can I get my parents to stop pushing them?

You still have much to learn about yourself. If you don't allow yourself to feel emotion then how would you be able to go about making friends? No one wants a robot for a friend, let alone a boyfriend. I do not think that you should date anyone right now considering your mental thinking process as of current. I do not believe you are ready for such excursions at this point in time. Learn about youself and allow yourself to feel. There is NOTHING wrong at ALL with feelings. How else will you know what you like and what you don't like? Go out and do stuff, fun stuff.