It would be nice to see photographs of your case. Do you have any to post? Wisdom teeth can easily cause bite interferences, so I do not feel it is unreasonable for your orthodontist to suggest wisdom teeth removal. Most people do not have room for wisdom teeth anyway, and it would probably be better for your hygiene to have them removed. In addition, once an Invisalign patient ends 20 hour a day aligner wear and begins wearing retainers, the bite in the premolar area usually settles in just fine. Please relax a little bit, and have a discussion with your orthodontist. I feel like you can trust their judgment.
Douglas Jopling, DDS Dallas Texas area