I can see the possibility of a split in the Republican Party. I don't think it's a sure thing, but I think it's on the table now.
If it happens, then I think there will be some inclination on the part of 'moderate' Republicans and conservative Democrats to join up in the hope of creating a new majority party. I'm not sure how likely that is to happen. I sort of think it's only in the 'might happen' range of probabilities. More likely the Republican Party will split than it will split and then one part of it join up with some Dems.
By the way, so far as I can see the odds that anything will happen to truly reduce the polarity in the country seem infinitesimal so long as the radical right media sings to the nation in full voice. Unless some miracle causes them to change their tune, we have decades of polarity ahead of us. Assuming we can survive it for that long.