Democrat Claire McCaskill of Missouri makes some very good points in the linked article. As satisfying as the filibuster would be, given that Republicans stole this seat, I think they should go ahead and vote.

I think Gorsuch, while quite conservative, is qualified and it is clear he is going to get approved one way or the other. I think it is likely that Trump (or his successor) will likely have another opportunity to nominate someone. And while I think it might be possible to stop an unqualified or highly controversial nominee, I think someone qualified is going to get the go ahead no matter what Democrats do.

Thinking strategically, if we vote on Gorsuch and he gets in, we have an opportunity to stop or delay an extreme candidate in the future. Possibly pushing back a vote until Democrats can retake the Senate or White House. It’s a long shot, but I see no real gain from filibustering at this point in time.

I get that Trump may end up being forced from office. But a President Pence, or, should the entire administration be swept out, a President Ryan is not going to nominate someone less conservative and more qualified.