Do you have a source for your roadway wear formula? Just interested to read more.
If you just google something like 'per-axle weight to the fourth power' you find lots of sources.
Re:To fix L.A.'s traffic, we need tolls
by logfromblammo on Wednesday March 08, 2017 @10:04AM
(#13820673)
The AASHO Road Test is the ultimate source for the 4th power rule.
A gas tax is already proportional to miles driven times vehicle weight times a fuel efficiency factor.
Congestion, on the other hand, is a more difficult thing. Vehicle length certainly plays a factor, as well as width, acceleration, and braking distance. Number of passengers is an obvious factor. Trip routing efficiency has a role. I really don't expect local legislators to understand the mathematics of traffic. If they don't commission a study by traffic experts, and do exactly what those experts recommend, they might just end up making things worse.
https://en.wikipedia.org/wiki/Braess'_paradox#Traffic
https://en.wikipedia.org/wiki/Traffic_wave