Two reasons: One, this mess is localized to one state, and under the Constitution, the legislatures of the States have the power to set the rules for picking Senators, and their courts have the power to interpret those rules. There is no national deadline, like applied for the Electoral College representation. And the legislature in New Jersey is Democrat, so they won't be stepping in and reversing any fix by the New Jersey Supremes like was going to happen in Florida.
Two, the US Supreme Court is still licking its internal wounds from involving itself in the federal election fiasco two years ago and would only get involved if another federal election were at stake, not a state election.
Don't let any of this worry you. There is going to be a reckoning, or a wrecking as a result of this.
I think it's all going to be too much for some family history Dems, Democrats who have been loyal due to family history and believing that Clinton was a passing embarrassment, like Republicans thought about Nixon.
But with Bonior and company in Baghdad, New Jersey pulling Mafia power grabs....I think there are going to be some reregistrations across the country in hearts and souls as a result.