So if the Dems had control of the presidency and both houses but were fearful of losing it soon, and they had the opportunity to seat a Supreme Court justice and were headed to the vote when suddenly Republicans claimed there was an anonymous claim that they said required investigation, you believe that the Dems would stop everything and say, "Gee, this sure sounds credible. Let's halt everything and risk losing our opportunity while we give control over to the minority and see how long they can tie this thing up?"
Even if you are not willing to admit which side of that argument you'd fall on, I've been around long enough to know exactly what would happen. The vast majority of people are choosing their side in these sqabbles not based on the facts, but based on politics.
This particular instance was a perfect storm for the Democrats. In my opinion they will come out the big winner because growing numbers of conservatives (myself included) now believe that Kavanaugh should not be confirmed, and that means a significant opportunity lost for the Republicans. Kavanaugh lied to us. People on both sides should be pissed.