Centrism isn’t a party. It can’t “switch sides”. It’s an ideology. An ideology which exists exclusively in relationship to the context from which it’s born. The ideology of centrism, by definition, exists in the same place in all contexts. And the political reality of what the left and right do in any given context, contesting or maintaining the status quo, means that the centrist is always, defintionally, just conservative lite. We conserve some stuff but not others. They keep this ideological cancer even when the right wants to literally genocide. The OP is a joke, but it’s based in the historical reality of centrist politicians and their voting base under liberal democracy. I urge you to read a book, ideally something outside of the American education business.