As I said in the ad for the '67: if it's straight, rust-free and has the Imperial-only stuff there, it's for real. The calculation I did when I bought my Imperial was that Chrysler was smaller than GM and couldn't afford to have completely separate mechanical stuff across divisions. Therefore, a lot of parts would interchange with more common models.
I'm not as familiar with '64s, but if you go to the online Imperial club, there will be lots of info about parts swapability.
A pushbutton 727 is a pushbutton 727. If everything else is in good running order, it could be a good candidate for a rolling restoration. Personally, I like the patina of survivors. The leather looks old, but not ripped. The interior looks like it would clean up.
I like it.