So I have a copy of IBM CD-ROM Star Wars: Rebel Assault that differs from the version found here http://redump.org/disc/10370/

I have ripped this with four different burners now with all showing the same MD5, SHA1, and MD5 that differ from the ones currently in the database. Leaving only two options, the one in the database is incorrect OR what I think is the more obvious answer I have a different version especially considering my ring code reads CDRM-1151470 1 and has no IFPI number.

I have a hex editor and have looked at the .exe files for clues with no luck.

Try checking for a serial number of the disc by going to the command prompt and running "dir" command on that directory.
So, for example, if your drive is G:, first enter G:, then press ENTER, then enter dir and again, press ENTER.

G:\>dir
 Volume in drive G has no label.
 Volume Serial Number is D63A-444A

Someone should find out what the serial number of the disc in the database is and compare it to yours.