most conservatives don't claim to be open and inclusive
All the more reason to ignore them. You can't run a country when a group that is finding itself headed towards being a minority wants to exclude the rest of the country.
Liberals do, and then bash anyone with different ideas or beliefs as neo-conservative warmongering science-denying ultra-fascist teahadists.
And "conservatives" like to pigeonhole anyone they disagree with. Of course, "conservatives" have a problem with their side being actually full of the people you describe.
It's perfectly possible to be open to ideas from both sides of the spectrum.
True, but that does not mean all ideas deserve equal consideration.
It's called being a moderate.
Being a moderate doesn't mean you have to listen to and accept every idea that comes across your radar. And very little out of the Republican party these days is truly worth consideration by any moderate.