In Driver Ed, I don’t remember If there was any discussion about keeping to the right except to pass. I have seen some signs reminding drivers of the law, but they are usually hiding behind the “Welcome to New Jersey” signs.
But oh, how often have I wished that the drivers on the Turnpike or Parkway had that law stenciled into their visors.
Will this law make a dent, probably not. It will probably be rarely enforced as well.