Your state will accept your Federal extension. The following is from your state
Federal Extension Filed
If you apply for a federal extension, you do not need to file a New Jersey extension application (Form NJ-630) as long as you meet the following conditions:
If you meet the conditions above, New Jersey will accept your federal application for extension. However, you must file a separate New Jersey extension, Form NJ-630, if you are required to make a payment to satisfy the 80% requirement.
Civil union partners filing a joint return must either provide copies of the federal extension application (or confirmation number) for both partners, or they must file Form NJ-630.