Speaking for myself, I've always accepted but disagreed with socially moderate to even liberal Republicans as long as they're with us on other issues. I've also said the same for populist Republicans who aren't always with us on economic issues. Same with those that don't necessarily accept the modern conservative Republican views on foreign/military policy.
That being said, I've encountered plenty of "big tenters" that are socially liberal and want to be personally accepted but want to shut the door on populists.
