"Nuclear option" is a term created by Democrats
Republicans first called the elimination of filibustering judicial nominees the "nuclear option"
The term “nuclear option” was originated by former Sen. Trent Lott (R-MS), one of the leading advocates of a 2005 proposal to change the Senate rules on filibusters for judicial nominations:
Changing the Senate’s rules on judicial filibustering was first addressed in 2003, during the successful Democratic filibuster against Miguel Estrada, whom Bush had nominated to the United States Court of Appeals for the District of Columbia Circuit. Ted Stevens, a Republican Senate veteran from Alaska, was complaining in the cloakroom that the Democratic tactic should simply be declared out of order, and, soon enough, a group of Republican aides began to talk about changing the rules. It was understood at once that such a change would be explosive; Senator Trent Lott, the former Majority Leader, came up with “nuclear option,” and the term stuck.
After initially being used by Republicans, GOP senators began to attribute it to Democrats.