Naw, SCOTUS won't get into a "local" race.
Can you say "disenfranchised military and absentee voters" or "equal protection?"
In terms of jurisdiction, a Senate election is not a local race. The 17th amendment to the U.S. Constitution states that The Senate of the United States shall be composed of two Senators from each State, elected by the people thereof. The states do not have the power to negate that statement.
The Equal Protection Clause of the 14th amendment of the U.S. Constitution prohibits states from denying any person within its jurisdiction the equal protection of the laws.
If absentee voters, including military personnel, are denied their right to cast a valid ballot, because the NJ Supreme Court arbitrarily negates a standing election law, that would certainly give the US Supreme Court a reason to nullify the NJ SC decision.