Make no mistake, Crocodiles and Alligator males are MUCH larger than the females. And that above quote about females holding dominance is NOT true unless you count ants and other insects, and even then, this is only so because most ants and bees and similar insects are female; the only males among them are the drones, which are still the most powerful kind... they're just terribly outnumbered. Most terrestrial vertebrate males are larger than the females; just look at cows, sheep, lions, tigers, goats, apes, deer, bears, rhinos, hippos, bison, elephants, cats, dogs, most birds, especially peafowl (you are not correct in your statement, save for a few like Bald eagles)...
In fact, whenever females are larger than males, it is called reverse sexual dimorphism, meaning that the standard kind of dimorphism is when the males are larger than the females, implying that it is more common.
It's actually rather extreme in crocodiles, in which males can be as long as seven meters, but it is very rare for a female to be more than four meters. Yes, certain fish, turtles, insects, arachnids, and some small lizards have the female being larger, but for most animals, this is not the case. Considering that crocodiles are related to dinosaurs and they are the largest living reptiles, I'd have to predict that male dinosaurs were a good deal larger, stronger, and more dangerous than the females.
