The only issue that you will run into is that System 7 doesn't like the old System 6 Desktop file. Keeps trying to rebuild it and will hang about 1/8 of the way into the process. I ran into this problem when I ran my IIsi as a dual-boot machine back in '04 and '05. There used to be an INIT for System 6 that would allow it to use the newer Desktop DB/DF files. Think it was called Desktop MGR or Desktop Manager. May've come on one of the Appleshare disks.

-J