I don't see it. The Democrat-Lite Republican Senators in red states will continue to get reelected and nothing will change as long as they do.
Seriously, what motivation do they have to change if they still have the nunbers to win in a general election.
The GOP House held the line. And enough GOP Senators apparently were willing to filibuster the "compromise" to block that as well.
I do agree the GOP has their feet in the waters of the Rubicon. But they haven't crossed it yet and are now just milling about in the stream. We'll see which bank they end up on, but so far so good - they aren't moving forward on amnesty for now.