Hi I'm in Europe and where I live there is a invasive bird species, too, the Rose-ringed parakeet. No single kind of parakeet or parrot used to live here or in the surrounding countries naturally.
Today (it's actually winter and cold here) I saw a big flock fly over the fields. Here is a picture of some of them in my parent's garden:
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These parakeets could get invasive because they were brought here as pets; some escaped their owners (which can always happen accidentally) but sadly also a 'good' part got kicked out by their no more intersted owners.
Regarding your project I think it could be importand to plan taking back in the ones new owners probably at some point want to get rid off again (sadly this will happen as with any other pet - people too often are like that) so they will not just open a window and kick them out especially because they know those birds can survive and do well in the environment. So perhaps planning extra space for grown ups coming back and very clearly giving the option of always taking them back could be woth considering regarding the spirit behind your project.
It is great that you do have a lot experience with wild birds!