The problem with this argument is that because of the 4th power law, essentially all road wear due to vehicles is caused by 20+ ton commercial trucks and the difference between the different sizes of personal vehicle is immaterial.
If you want a tax that accurately reflects road wear it ends up being around $0.10/year for a 2500 pound subcompact, $1/year for a 4500 pound SUV and >$6500/year for a 20 ton commercial truck, assuming they all travel the same number of miles. And in practice the commercial truck will typically see ~10x more miles too.
A difference of $0.90/year in tax is probably not going to provide much incentive to anyone.