When you ask questions like that, you're part of the problem.
Somehow I doubt that Conservatives and Republicans are the same anymore.
No, it's defining the problem. The question is, has the Big Tent grown so large that it includes both sides of everything, or has it been re pitched farther Left, leaving the conservatives in the cold? Has the GOP, in its desire to capture the lukewarm, uninterested middleground neglected the needs and wants of its own Right, to the point that they feel the Party has left them?
What does the brand name "Republican" mean? What are you getting when you buy it? How can you tell what's in the package, at a minimum, before you open it? Without a great deal more consistency in agenda and message from the GOP, you can't.
When you ask questions like that, you're part of the problem.
I tend to think when you don't ask questions like that you're part of the problem. When I think of life as being center-Right I think of it as a social contract between the dead, the living and the unborn. Asking such questions respects the dead and may protect the unborn.