The "problem" with that tax is that if it's applied fairly, it gets very big very fast. The damage to the road goes up with weight, but not linearly. Not a square factor, either. Not even cube. It's to the fourth power.
Start applying that to long haul trucks and the whole industry will be bankrupt in a month. The implication being that we are all subsidizing that industry with taxes on roads. Including that one trucker with a "who is John Galt?" sticker on the back.
That said, this is also a very good argument for improving cargo trains to the point where most long haul trucking goes away.