I think right equals conservative has not been true for a long time. It is the right that promoted globalisation. In many countries it was the right that privatised formally state owned industries. In the UK in the 70s the right wanted to join the EEC (and Conservative Party governments supported greater integration for decades afterwards), and the left opposed it. All big changes. The current US government seems to want to change a lot of things.

Right = "let me do this thing for myself to get ahead, and then forbid everyone else to do the same"