I think you're attempting to break a very complex world full of people into noddy language.
Blair managed to bend the Labour party more towards being Tory, and basically not being itself. It was a struggle but they were reasonably successful, but with many issues, including 100,000s of dead people in the middle east for no apparent reason.
This current lot are basically 1970s union-run mobsters. Plus many including Starmer himself are members of the bonkers Fabian society religious cult, which is basically a belief that whatever brand of leftyism they persuade the public they are, the undercurrent is a steady march towards Marxism. Together with killing lots of people they don't like. This all sounds ridiculous (because it is), but it's absolutely what they are on record as being about.
I believe you need to be pretty ignorant of reality to support the current lot. Farage and co are undoubtedly flawed, but are definitely far less worrying than what we currently have.