Talking of VP's - this would make the next VP quite influential.
'Everybody's got leverage': Dreading a 50-50 Senate split
An evenly divided Senate looks increasingly likely after November.
www.politico.com/news/2020/09/17/50-50-senate-control-416424
An evenly split Senate would make life grueling for whoever is president next year. Any one senator could determine the fate of critical nominations or key pieces of the party’s legislative agenda. And in an era of already deep polarization, it could lead to even worse gridlock, as inconceivable as that sounds.
“A 50-50 Senate makes it really difficult for the party of the president to do everything that they may want to do because party discipline, conference discipline, is very challenging,” said Sen. Kevin Cramer (R-N.D.).
But if Democrats pick up a net three seats, that’s what happens. Should Joe Biden win the presidency, they’ll hold the majority; if President Donald Trump is reelected, Democrats need four seats to do so. That’s because under an evenly divided chamber, the party that holds the White House runs the Senate, with the vice president casting the deciding 51st vote to break any tie.
....
Who is running the Senate might not actually be known until January if the two Georgia Senate races go to runoffs. But interviews with more than 15 senators in both parties found agreement on this much: hardly anyone is rooting for it.
“Everyone's got leverage,” said Sen. Tim Kaine (D-Va.), who said he didn’t want to think about that outcome just yet. “We’re just talking about pedal to the metal and hopefully winning as many [seats] as we can.”
A split Senate also would drastically reduce the likelihood that Democrats nix the legislative filibuster if they gain full control of Washington. Progressives have urged using the “nuclear option” to unilaterally gut the filibuster in order to enact a bold agenda for a President Joe Biden, but getting all 50 Democrats in the ideologically diverse caucus to sign on would be difficult. (The vice president could be the deciding vote on a rules change in the event of a 50-50 split.)
Of course, the senators hastened to add, if it means being in the majority, they’d take it.
“Better than a Senate with Mitch McConnell in charge... but not as good as a 52-48 Senate,” said Sen. Brian Schatz (D-Hawaii.) “It would just make it harder to get legislation passed. If you’re ever not unanimous you can’t pass a bill, assuming that the Republicans oppose everything that Joe Biden proposes.”
An evenly split Senate is a rarity. It’s only happened three times in the Senate’s storied history, in 1881, 1953 and most recently following the 2000 election and that didn’t last long. Amid frustration with George W. Bush’s conservative agenda, Sen. Jim Jeffords of Vermont left the Republican Party in May 2001 to caucus with Democrats and deliver them full control of the body, at least for the 107th Congress. Republicans won back the majority in 2002.