There is nothing wrong with believing whatever (or taking any political position) you want...
...but if your views are out-of-step with the majority of voters, you will have a hard time getting elected.
I am truly sorry for you that most Californians don't share your views on (for instance) gun ownership. That's just the way it is.
"Moving to the center" is something that pretty much all politicians (those left of or right of center, anyway) do to get elected. It is not some conspiracy foisted upon the poor helpless Republicans by the Democrats. If you don't want to do it, then don't (and quit whining about it).