The trouble, there, is that the modern American mainstream right (and to a large extent the right, or at least the far-right, in most developed countries), _is not conservative_; in general it's far more radical, and wants to make far more sweeping changes, than the mainstream left.
There was a fairly long period when the political right heavily overlapped with 'conservatives', that is people who are perhaps overly into Chesterton's fence, but that's largely over now.
> leading to an alien landscape where people are fleeing newly antiabortion states and refusing job offers on the basis of what laws they have to live under.
I would note that that people having to be conscious of repressive state laws isn't _all that alien_; ethnic minorities in the US have moved states based on the laws they'd be living under for literal centuries, and LGBT people have similar concerns (it wasn't even legal to be gay nationwide in the US until 2007, for instance). The difference here is the abrupt _removal_ of pre-existing rights, of course.