Hydrogen is produced deep within the earth and enters the ocean. It is produced by fracking and fossil fuels. It is produced through chemical reaction. It is produced through the production of fertilizer and ammonia. It can be extracted from air at the rate of 1/2 liter to 1,000,000. Get it before it leaves. It can be extracted from water and turned back into water at a big net gain of energy. IF YOU REALLY WANNA GO GREEN then this is the way to go.
Virtually all of the science in your post was wrong, but this part is just hilarious. You can extract hydrogen from water and turn it back into water at a big net GAIN in energy? The highest level of science background you need to recognize that this is IMPOSSIBLE is a year of high school chemistry and/or physics. Heck, my freshman high school physical science class taught me that this couldn't be right. But not everybody's high school science classes were that good.
There are no free lunches. You can't break a molecule, put it back together, and gain energy. Because no processes are perfect, you can't do it without losing energy. In fact, the efficiency of the best processes we have for converting water into hydrogen and oxygen and then burning the hydrogen is just above 30%. But go on with your bad self, you know science.