I like this idea, but on a 100k mile tire at $0.015/mile (the rate proposed in Oregon) that would be $1500 for a new set of tires (or $375 per tire if you have four tires and each tire gets charged at a fourth the rate). Given that a cheap new tire costs around $50, that would be a significant (perceived) price hike for new tires.
I think people would react badly to that even if technically they are saving just as much by not paying gas tax. Strange black markets, tax dodging, and market distortions would likely happen as a result.
I would be very interested to hear if there is a way to avoid those effects.