And the members of the Senate determine the allocation of its committees and its leadership. But in 1954, the Senate had a similar split. With GOP Vice President Richard Nixon holding the tie-breaking vote, the Senate organized itself as it had the year before. Republicans took the leadership positions, and maintained the majorities and chairs in all committees. But also there is this matter of having situations where you can get your work done.
Somebody has to be in charge.
He also rejected the idea of outright committee parity. The leaders will work out something. Democrats will have more say in how the Senate is run no matter who holds the positions.