There is no such place as "Newport, NJ."
Perhaps you are referring to Jersey City, NJ.
There is a condo development (and an adjoining shopping mall) within Jersey City that are both named "Newport", and they are located about 1/4 mile from the route to the Holland Tunnel, but "Newport" is not a census-designated place, and it is definitely not a municipality.
In any event, after I-78 traverses most of the State of NJ as a non-toll road, it joins-up with the Hudson County Extension of the NJ Turnpike (a toll road), and the stretch of I-78 from Newark-Liberty Airport to...almost...the entrance to the Holland Tunnel is actually the turnpike's Hudson County Extension. This part of the turnpike ends a few blocks from the entrance to the Holland Tunnel, so technically it does traverse surface streets before you come to the tollbooths for the tunnel, but the distance is...maybe...3/4 of a mile.
In a state that is as built-up and as congested as NJ is, there really wouldn't be any practicable way to build another East-West Highway from Newark-Liberty Airport to The Holland Tunnel.
This might clarify the matter for you: