The Democrats are probably going to go ahead anyway to try and get Republicans to cast their vote for posterity.
What will be interesting in the next couple of years is the degree to which the 5 senators who are breaking with the Republicans will vote with the Democrats on other measures. Murkowski, Collins, Romney, Sasse and Toomey.
Romney I think won't. He is a classic Republican and having already run for President and in safe seat being the Mormon Senator from Utah he is just able to do this on conviction. I don't know much about Sasse and Toomey.
But Murkowski and Collins are interesting. They're the ones who - along with McCain - stopped the Republicans form repealing Obamacare. They're already quite detached from the wider Republican Party and have strong personal votes in their home states. Collins has only just been re-elected even after being an anti-Trump Republican. Murkowski is so detached from the party that in 2010 she lost the State's Republican Primaries only for the people of
Alaska to elect her anyway by writing in her name on the ballot! Which is even more impressive when you consider for a write-in vote to count they had to spell her namely correctly. So you have two Senators there who are not dependent on the Republican Machine or even the Republican base in their own states.
If Trump maintains his hold over the Republican Party then these senators may be looking across the aisle to the Democrats. If not a party switch then at least being independent senators who swing between the parties. We're talking about a Republican Party in which McConnell would be in trouble as Senate Minority Leader as he is insufficiently Trumpian.