Wow! You really simplified economic theory there!
No. Capitalism doesn’t have socialism.
I can tell you’re liberal, because you want to try and finely technically explain away why you being a liberal doesn’t make you a socialist.
However, in a nutshell, a society with a government that does the minimal for the people is going to going to have low taxes.
Societies with interventionist governments, where the government offers a lot of social spending is going to have high taxes.
Very good.