Senate Majority Leader Harry ReidHarry ReidThis obscure Senate rule could let VP Mike Pence fully repeal ObamaCare once and for all Sharron Angle to challenge GOP rep in Nevada Fox's Watters asks Trump whom he would fire: Baldwin, Schumer or Zucker MORE (D-Nev.) and Minority Leader Mitch McConnellMitch McConnellOvernight Healthcare: High drama for ObamaCare vote | Freedom Caucus chair 'optimistic' about deal | Trump woos right High drama for ObamaCare vote Senate nixes Obama-era workplace safety rule MORE (R-Ky.) late Friday night clashed over when to vote on Reid's debt ceiling plan, as McConnell said Republicans would support an immediate vote, but Reid objected to the Republican demand for a 60-vote threshold for passage.

Just before Reid filed cloture on his bill, McConnell said House Republicans are planning a 1 p.m. vote Saturday on the Reid proposal, and said he would be "more than happy" to allow the Senate to vote before, on Friday night.

In response, Reid said Democrats would be happy to vote Friday if the Senate can approve it by majority vote, "just like the House" voted earlier in the day. Reid here was essentially asking Republicans to drop the threat of filibuster, by which they would force a 60-vote supermajority on cloture and allow the Senate to proceed to the bill.

When McConnell objected, he said it's "obvious" to the world that Republicans are filibustering the bill, and said he's "disappointed."

McConnell said he is having an "out of body experience," since Reid was requesting a simple majority vote on "a matter of this magnitude."

Later, McConnell said this has created a "rather curious position" that the House will now vote on Reid's proposal before the Senate does. The earliest the Senate can vote on Reid's bill is early Sunday morning.