If it were going to destroy the Everglades, the population would not be sustainable. Frankly, I find it hard to believe there is enough prey there to support so many large pythons. Of course, Burmese pythons occur in relatively high population densities in their native range considering their size, because they can go so long without eating.
Personally, I think a bad frost will kill off most of the pythons. And claiming that something as heat-dependent as an anaconda or African rock python is just ridiculous. If you haven't read it already, I highly recommend the Barkers' paper on the subject.
And since you bring up rodent pop. increase in the Everglades ...
Look up the nutria, an invasive rodent common in much of the south. It is considered a pest, but I know of no control attempts being made because the fur is used for commerce. Also, the nutria introduction was partly what helped bring back the alligators from endangerment.
crocacutus