Gold is more stable and valuable than dollars. $1 is worth $1 but can go up and down against other currencies, gold is currently worth approx $1200 an ounce.
Money is what money does. There is no intrinsic value in either a piece of paper or a piece of gold. Each have value exclusively because men mentally give them value. Some men who have dollars convert some of those dollars into gold, but only some of them, because gold is far less useful than dollars. Dollars are liquid - they are accepted everywhere, as currency, to buy anything. They are light and portable, and don't have to be guarded with the same degree of effort and expense as gold. Banks will keep your dollars electronically.
Gold is heavy and not as portable. You have to guard it.
Gold is not nearly as liquid. You cannot buy a burger with it. You have to convert it into dollars to use it.
Nor is gold as secure. For dollars to seriously lose their value, the government of the United States has to be teetering, and unlikely thing. Gold has whipsawed up and down, gaining and losing value in percentages many multiples exceeding dollars.
Ultimately, dollars are more valuable, liquid and just generally useful. We know this because everybody who has a gold mines, takes the gold out of the ground and sells it for dollars. The gold mine owners HAVE gold, and they could keep piles of it, but THEY would rather have dollars.
Also, the gold sellers - the bullion dealers and men who hype gold on the Internet. They don't believe their own rhetoric. For all their talk about how dollars are headed towards oblivion, soon to inflate to zero, gold bullion dealers are all eager to trade as much gold metal as they can for those supposedly risky and useless dollars. Gold merchants value dollars more than gold, or else they'd hold onto their gold.
And for all of their rhetoric, THEY obviously don't think that the world is going to be ending as soon as their rhetoric would indicate, because every one of them is eager to trade as much gold as he can for dollars.
Dollars are more valuable than gold, because they are more fungible and useful.