If loving a regulated free market is neoliberal, then I'm a neoliberal. For non-essential goods, I think it's a great way to allocate resources. It's not even incompatible with social democracy, and in fact it's what we see in those countries. The problem is lassez-faire style markets. I did not mean to imply that's what I want. Use capitalism when it works, correct for it when it doesn't, and prevent it from doing harm (these are externalities).
And I didn't elaborate very well in that I really do love the free market but also believe in a social floor. Basic needs should be provided for every person.
And you're right, my belief that a 0% corporate tax is best is unusual, but please don't lump me in with reactionaries. I don't want lower taxes. Corporate taxes don't do what people think they do. It doesn't tax the wealthy, and it doesn't tax wealth. Instead, it taxes consumers indirectly and helps kill low margin businesses. It's much more efficient to tax rich people directly, instead of taxing corporations and thinking you're taxing rich people. Tax people when they take money out of a business. Most economists agree with my position to a large extent, including ones on the left. At the least they say the corporate tax should be quite low.
And I'm not really opposed to Medicare for all. It would be a lot better than what we have now. I just meant it's not the only way to improve things, and maybe not the very best. I would vote for someone that supported it though.