This article was a good read, even though it strikes me as somewhat contrary-for-the-sake-of-garnering-attention. The best part is actually the discussion following the article. The following was posted by "Andy" on the 8th.
"Eventually newly evolved or introduced pathogens, etc. will catch up with the invasives and then their lack of coevolution with their new biotic and physical environment will bring them down.
"Look at the European honey bee as an example. Introduced to N. America about 600 years ago. By the 1800's they were common throughout N. America (read Irving Washington's account of Oklahoma and Texas for example). They likely had pushed out many (extinct or reduced greatly in population and range) if not most of N. America's native pollinators and may have caused the extinction of the Carolina Parkakeet through tree hole competition."
"I think something that needs to be looked at in depth is the reintroduction of native plants and animals pushed out by invasive species, once that invasive is brought into control through evolution of pathogens, competitors, etc. This has the potential to greatly reduce the initial shock of native species loss following non-native species introductions. This will require the maintenance of native reserve areas where invasives are removed; for long periods (century or more). Which is about all most invasive species control programs can actually accomplish. "
This is the same conclusion that logic has led me to.