Well, the Republicans also can't win w/o conservative Christians, be they evangelicals or Catholics. So should all of them just shut up and bow down to the Left's judicial assault on tradition and court-imposed cultural revolution?
In the long run it probably won't matter anyway, as rapidly-changing demographics will likely doom the GOP.
As to 'federal intrusion' into our lives; I can almost see where you're coming from with regards to abortion, though technically, overturning Roe would return the matter to the states where it belongs, and it would be unlikely that any sweeping federal legislation could pass. But that whole sentiment does not apply to marriage. How is the deliberate choice of society to grant public recogntion to traditional marriage, but not to gay unions, an intrusion into the bedroom? Its a legitimate, constitutionally-sound expression of values. Gay couples can still do as they please, and the lack of state recogntion of their relationships does not constitute an intrusion. Come on! Similarly, to say that homosexuals are not 'free' because society does not deem their lifestyle to be worthy of the same recogntion as marriage is false. To say that a woman is not 'free' if she cannot have an abortion for any reason up to nearly the point ot delivery is false. To say that a person is not 'free' if they are subjected to the horror of a nativity scene outside the local city hall is absurd.
And yes, it is 'insulting' to take issues that clearly belong in the political arena, and arbitrarily decide that they are beyond the control of us common folk. Its insulting because it is to push a prepostorous view of the Constitution. Its insulting because it is to rob the people of power that is rightfully theirs. It is insulting because it is to accuse proponents of a restrained judiciary as being all sorts of liberty-depriving bigots. It is insulting because it is nothing but a convenient way for the Left to justify their end run around the people to impose on them an unwanted agenda.
If libertarians would leave the GOP simply because the base insists on judges who will simply refrain from imposing the Left's agenda, then such libertarians are liberals first, and libertarians second, or third, or somewhere else down the line. Are you really so opposed to a Sup Court that would simply rule that abortion and marriage are for the states to decide, and that the Constitution demands no particular policy outcome? Would you really leave the GOP because it tries to appoint judges who would refrain from discovering/creating new rights heretofore unknown? Would you really leave the GOP because it wants the people to define marriage for themselves?