That link doesn't work. http://www.truth777.netfirms.com/Conspiracy/carwater.htm is it.
In any case, there is no good summary and I'm not going to go through the whole thing to figure it out. The fact that it comes from a conspiracy theory website makes it suspicious. This is the best summary Its not clear, but if the site is claiming that you can use a car's alternator to split hydrogen and oxygen from water, then burn the hydrogen and oxygen to power the car and provide the power to split hydrogen and oxygen from water, it is wrong.
We've already been over why: The reaction is symmetrical and conservation law applies. This is taught in junior high school chemistry. Gasoline is fuel ready-to-burn. Water is not. In fact, water is the exhaust from burning hydrogen and oxygen. What you are describing is identical to putting a hose on your car's tailpipe, capturing the exhaust, and turning it back into gasoline.
Maybe this will help:
Assume all systems are 100% efficient. Put 1kWh of energy into some water and split some into hydrogen and oxygen. How much energy will you get back when you burn the hydrogen and oxygen you just produced?
(hint: all the info you need to do this problem is contained in the problem and no calculations are required to find the answer. Apply conservation law.)