There is no such job aslead cat-herder, er, Majority Leader of the Senate directly spelled out in the Constitution, but there IS an official Preznit of that august body, and that would be VP Harris, who can simply show up the day after inauguration and tell Moscow Mitch, “You’re fired’ed!”
From there, she can take his former position, and bring to the floor whatever bills suit herfancy, er, her solemn judgement, and she is not known for being fond of frivolity, or capable of much spiteful meanness, either.
Now wouldn't that be a kick in the nuts. I wonder what would happen if she actually tried that in a majority-Republican Senate.