Hi Hawk,
My first thought is to try to import your fcp project into premiere, then save as a premiere file, and import into ae.
This is why automatic duck exists, but it is definitely not free.
Could you just export lossless from fcp? I think that you are going to have to spend money if you want to maintain your edits in AE, and even then I can’t think of a good way to get it back into fcp intact.
If all else fails, then exporting to pro res will get you there.
_Ross