So exactly what the Repubs did last time a SC seat opened up... The Repubs have no leg to stand on here.
The Republicans control the Senate and the White House. By Senate rules only a simple majority is required to fill a Supreme Court vacancy. The reason that President Obama was unable to get his nominee through is simple, the Democrats did not control the Senate. The President wasn't able to negotiate, nor did he really try. He put forth a take it or leave it.