well, I'll grant you that the everglades is a seriously big place. But - given enough commercial benefit in it, I'd be willing to bet either a lot of people would be out there, or someone would develop something to give people an edge finding them. it might put a serious dent in the population...
But the other aside - what's the damage of a hundred thousand people tromping around the everglades hunting pythons as well.
Invasive species are tough as nails to get rid of, nigh impossible in certain circumstances. sucks when there are no natural predators, and lots of food. The best methods man has yet created only slow the rate of invasion. Some "cures" are just as lethal to the native flora and fauna as the invasive species is.
Nature is an expert on balancing things out though - several hundred million years of practice at it. So the ecosystem won't be destroyed - but it will certainly be different. small consolation to those species that fall by the wayside though - and those that may tie their livelyhood to them.
We're facing the same kind of threat in MN and the great lakes. between the damn zebra mussels and the Asian carp. the fishing industry is going to take a monster hit. may even kill a large part of it off. Walleye are our bread and butter, and the carp and mussels starve them out faster than they can cope. sucks. But - smallmouth populations are actually on the rise, and have exploded in some areas affected by the mussels too - so things aren't all bad if you like bass fishing.