This wouldn’t work, entangled particles don’t work like that. They would be disentangled the moment you do anything to either particle of the entangled pair. The only time any information can be encoded onto entangled particles is when they’re created.
That’s defeatist. There is a lot that can be done. You could pressure your representatives to gum up congress so much with filibusters, and unnecessary votes to slow down what Trump can actually get done. You could join the democratic party with others and start demanding that they change from within. You could support local or internet grassroots campaigns who resist Trump. If the only thing you’re going to do over the next four years is wait to vote Democrat again then there’s not much you’re realistically Willing to do.