Yeah, he wanted to move the democrats further right. That’s an issue (or benefit maybe) of primaries is that you can vote in the “opposition” primary to attempt to move them closer to your views. It does not make you a member of that party (except in the states where membership is a requirement, but that still doesn’t mean you support them).

Voting against Trump definitely doesn’t make you not a conservative/republican. Personally, I’d argue voting for him does that.