Does it not take 60 votes to cut off debate and have a vote?
Only if a Senator (one) onbjects to taking the vote. Absent unanious consent, a group of 16 Senators can move for cloture, limiting the time to debate on a subject, after which there WILL be a vote. Invoking cloture takes a 60 vote supermajority. Once cloture is invoked, the ONLY subject the Senate works on is the item that is the subject of the cloture motion.