Stronghold Crusader installed without any difficulties, but when trying to run the game, the icon would show up in the Dock, but otherwise nothing else would happen.
I next applied the official 1.1 patch. My initial attempt failed due to what turned out to be an OS X permission problem with the original executable. I modified the permissions on that to give read/write access to "Everyone" and then re-ran the patch without problems. Despipte the new patch, the game still would not run, as above.
Swapping out the newly-patched 1.1 executable for a pre-patched No-CD file resulted in the game running just perfectly. No issues that I can tell thus far.