Democrats don't have to do anything. Although, I am hearing from unverified sources that Democrats (or liberal groups) are filing counter lawsuits... which as I have no detail of that I'm not prepared to discuss. What appears to be happening is that the local courts are asking for the evidence required to begin a trial and the lawyers, despite the so-called overwhelming evidence, cannot seem to produce it. Without a trial, it cannot be taken to the higher courts as Trump wishes. It is not on the Democrats to get it to the deadline, but the Republicans. Democrats may stall purposely, but at this time, I see no reason why they would.