You should do whatever you want to. Just do not complain when your choices result in more liberalism. Because they were your choices to make and you got exactly what you voted for.
And that is why I go out and vote for the most conservative person I can. If there is no conservative person on the ballot, I hold my nose and vote for the Repub because at least they have SOME issues in common. If I don't do that, a liberal might get that office and next thing you know we have legalized abortion, we can't drill American oil, there are many things that even a more liberal (RINO as you say) has in common than the other side. I can't expect to get my way about everything.