The Senate will do what a majority (and they would need 2/3) Senate in unity with the President normally does; it will not convict. Cf. 1998. But that is not the travesty. The travesty--the absurd and distorted thing--is the president.
If McConnell refuses to bring it to the floor--as he has done with quite a few bills, because he is cowardly, well, that might be another travesty, and might also be a Constitutional crisis.