Maybe I should make a faucet, that behind the wall, is all electronic, and adjusts to the temperature of the hot/cold, and the pressure of each, and adjusts both so the simple faucet works as expected. I could do that. Probably only cost like $500.

What youre talking about is called a thermostatic mixing valve. they already exist you can pick one up at home depot for like a hundred bucks (and btw, i have one in my castle's shower and its awesome)

http://www.homedepot.com/p/Speakman-SentinelPro-Thermostatic-Pressure-Balance-Valve-with-Lever-Handle-in-Chrome-SM-5000/203713828