I really don't understand the problem. From NY to just outside Philadelphia, I-95 is part of the Jersey Turnpike. Then the Jersey turnpike is suddenly labeled I-295, and I-95 teleports to the highway running through Philadelphia. You can see it from this map [1]. They both then meet up again in Wilmington, where they both merge into 1-95 again. Why not just keep the designation of I-95 on the Jersey Turnpike throughout the entirety of New Jersey?
[1]https://goo.gl/maps/GpjeGtvmrJ42