McConnell could do everyone a favor and announce that any impeachment by the House that does not have a real, serious, documented crime to justify their actions, will not be taken up by the Senate. That the Senate will not participate in their political hatefest.
I don’t think what the Senate might do matters. House Impeachment provides a distraction and possible insurance against Barr’s upcoming reveal of the real crimes. It also limits PDJTs ability to govern. Finally, it may shut off the power of the Pardon, depending upon the interpretation of the “except in matters of Impeachment.” The only thing holding back the Rats are the polls. If Barr cuts deep, survival trumps (pi) the polls.