NJ has 10M residents, of which ~500k work in NYC, and at most 2% of those would pay the congestion charge based on their pre-charge commute. Even if every one of those people previously voted D and went hard R plus convinced five of their non-driving friends to do the same, that's 50k flipped votes which is utterly irrelevant.

The better political option is to increase the 2-axle congestion charge to $25 (London's £15 adjusted by PPP using national numbers, so extremely conservative) and spend half of it on transit in the commuter's origin location.