The trial for CS5.5 is fully functional. You can install it (assuming a 64 bit operating system) and see for yourself if a particular media clip works or not.
Why not copy the files with Clip Browser to your PC and forget about MOV files? If you insist on MOV files, realize that if the format is supported at all, you will effectively kill the 64 bit nature of CS5 and reduce it to 32 bits QuiRktime in 9 out of ten cases.
I never ever had a problem with .mov files in Premiere. They are supported, and can be imported directly into premiere and edited.
The only reason you can do it is perhaps your quick time player eater is not installed or corrupted and does not work properly. Reinstall it and see what happens.
As an uption - you should be able to export XML from FCP and import into Premiere and continue to edit.