So, Title 39 of the New Jersey Code doesn't specifically suggest that you have to have a windshield:
New Jersey Code - Title 39: 3-74
And thus, wipers are not required, as per section 3-46:
New Jersey Code - Title 39: 3-46
This is very much UNLIKE New York which stipulates a windshield made of safety glazing be present on all automobiles.
And as Al said, your Seven cannot be considered a historic or collector vehicle (unless it *is* more than 25 years old):
http://www.state.nj.us/mvc/Inspections/VehiclesExempt.htm
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