Please check the site before making assumptions! The system uses the energy already being produced in the vehicle and uses it to produce the hydrogen. You can also supplement the power usage by installing thermoelectric (Peltier) power modules and recycle the wasted heat energy. I'm not saying I'm going to use/try all that but keep in mind that a lot of the energy the gasoline produces is wasted/untapped. Simply use that waste energy and recycle it for something else to supplement the fuel powering the car, thus DECREASING the cost per mile by squeezing more energy out of the original fuel! The electricity involved isn't coming from coal, or your preferred method of nuclear energy, it's coming from the car itself (alternator/battery plus optional peltier modules)!
While I agree trying to go greener, while wasting fossil fuels is hypocritical, getting the most out of your fuel isn't! I never said I was trying to get something for nothing. A perpetual motor does not yet exist! All I'm asking is if the gas mileage would increase by injecting a hydrogen and oxygen mixture into the ICE engine, which you agree should do just that. So why not try to harness all that wasted energy from burning gasoline and supplement the engine? Think about how much electricity the alternator is generating when the engine is running. Think about how much heat the engine is producing while burning its fuel. Harness both and guess what? You can produce your own hydrogen without spending any more money!!! I know Peltier modules are pricy so that's more of an addition than anything but I highly disagree in your statement that you can't get something for nothing. Why can't we get energy from the Sun? Yes, wind and rain are from the Sun, yet there is no waste! None at all! I agree with you that nuclear is a good source of energy but then you're creating a waste problem. Where do we put it?
Electricity can be produced from running water, wind, solar, thermal/heat. Many sources that we have in abundance and guess what?...it's there for all of us to have for nothing! Producing the equipment to harness that energy costs money, which is why everyone prefers the easy way out but we also call for recycling aluminum, paper, glass, etc. Why not recycle the energy being produced from the engine itself?