At some point, a new habitat will reach a new balance with our introduced species and there's no going back.
And yes, there may be less diversity in species all over the world (for the time being) thanks to that. But once the new species learn to reproduce and survive in a new place, then that is the "new" state of the habitat.
I agree we should strive to not fuck up our place on the planet. But habitats will change whether we like it or not.
Maybe in a million years feral cats in Australia will differentiate themselves with the ones in Europe.