Sorry, only one main/primary residence allowed... the other would be consider 'additional' and not eligible.

In PS, Worksheet G will allow you to list (for example) 365 days at location 1 and 354 days at location 2 and will calculate with the total BUT Intuit is, was, and always will be WRONG.

NJ Instruction for worksheet G  says total days = 365. (you can list one for 200 days and the other for 165 days and apportion the taxes accordingly). 

The State will default to the address on the return unless worksheet G is used and they do crossmatch with local property tax records.  It generally takes a year or two but they send out notices of adjustment with P&I and the taxpayers are never happy about it...........

As a side note, be careful about number of units in dwellings.... If it's registered as a 2 family (even if not rented) you can only claim 1/2 the taxes for the 40a deduction....