Should congestion pricing be implemented in cities with heavy traffic congestion?

New York City (as well as a few other cities) is looking at implementing congestion pricing for its busy roads. Basically, you pay a toll to use a road during peak times with the goal of discouraging people from making unnecessary trips and and pushing people to other forms of transportation.

An argument against it is that obviously the wealthy are less affected by this sort of tax than the poor. And often times a trip may be necessary (ie going to work).

To alleviate this, the city would direct the fees for congestion pricing to things like subsidizing and improving public transportation.

The benefits are that reduced traffic means you can get to your destination more quickly, significant reduction in pollution, and encouraging the use of public transportation.

Apparently it's the last 20% or so of cars on the road that really create gridlock. Other cities around the world have implemented congestion pricing and shown it to be effective at reducing congestion on roadways.

So, are the benefits worth it or is it unfair to the poor and just another way to prioritize the wealthy?