I agree with the direction of your idea but I don’t think it applies here. Invasive species are a major cause of loss of biodiversity. Typically, habitats change over a much larger timescale. If you introduce a species that’s suited for a habitat and it has no natural predators, you’re going to end up losing a lot of biodiversity as a result. Why is biodiversity important? Biodiversity gives us new opportunities for research (lots of new medical discoveries come from biodiversity), it allows an ecosystem to adapt to pressure (imagine if there’s a deadly new avian flu and you have 10 vs 100 bird species in an area, it’s a lot less likely that all birds will be wiped out in the second scenario as there’s more varied adaptations in that system that might allow the birds to survive). Change is of course natural for all ecosystems but as you lose biodiversity from things like invasive species, you lose the factors that allow an ecosystem to surmount potential extinction (extirpation?) events.

Alligators evolved during the Late Cretaceous (100M-65M years ago) and populated the waterways of the south-eastern US around that time. Pythons were introduced to that ecosystem roughly 30 years ago.

noahA does a pretty good job of explaining why the current thinking is that invasive species are a very bad thing but I agree it's a form of hubris to think we can control these things when humans seem to want to follow a whole other set of behaviors. Still, I think it's a good idea to try to motivate good stewardship.

Here's an incomplete list of other invasive species in the Everglades: https://en.wikipedia.org/wiki/List_of_invasive_species_in_th...