Good to have you on board on this topic. It's clear you have an understaing of physics.
If I understand you correctly, you are suggesting that instead of having the end-user select a desire lean angle, that the user enter in their coefficient of friction of their tire. With that, I can truly find out what the TIRES are capable of and calculate the maxium speed through the turns...
I am not suggesting having coefficient of friction instead of lean angle. I think you need to have both as options.
Lean angle should be defined as the furthest you are comfortable/capable of leaning over. The Coefficient of Friction is a very rough guestimate in ideal situations. When calculating the max speed, it should be the lower speed of the two calculations between Max Lateral G/Angle and Coeffient of Friction/.
So if you max out the coefficient of friction at 45 degrees, but your comfort lean is 40 degrees, then take the lower speed at the given 40 degree angle. Otherwise if the coefficient of friction doesn't allow for speeds that require 40 degrees, then choose the lower speed that is allowed given the selected coefficient of friction. So it should calculate both values independently, and take the lower of the two. Therefore for each corner it should post the max speed AND the angle necessary for that speed. So in some corners the angle might be less than the max angle the bike is capable of...
That would be my suggestion.
A few problems with that though:
1) Do tire manufacturers publish the coefficient of friction?
2) If so, can we trust them? Under what conditions? What type of pavement?
3) What if the coefficient of friction is so great that you hit the physical limit of the bike before the coefficient of friction is reached? What if full slick is capable of generating 2 lateral G's which would require a lean angle of 63 degrees but the bike is already dragging a footpeg at 55 degrees effective lean angle with the rider fulling hanging off the bike to increase his effective lean as much as possible?
1) Not all but some do, for certain cases that data can be extrapolated. The information for Lateral G's of tires can also be calculated from skid pad tests and lean angles. And there is also data for that somewhere. You would only need to take a few samples to make a simple dropdown with "average" differences.
i.e. Michelin Pilot Power Tires - RevZilla
Unprecedented lean angles: 50.6 degrees in the dry, 41.9 degrees in the wet
Assuming tested at the Michelin test track you can get presumably calculate the coefficient of friction as 1.2 dry and .90 wet (source
Whether there is more data, I am not going to bother looking, but that's a good start, go up and down from there
2) No more than we can trust the bank angle and google maps corner points
3) See note above...
Whether you change up your site or not, I think it's a useful tool after knowing it's current limitations (fixed assumptions etc...). I appreciate your consideration of my suggestions, and if you find my feedback insightful enough to change your site, I would be greatful for your additional efforts.