That's exactly what olePigeon did last night

I just took a look at the dumps:
The Daystar image changes the Happy Mac icon and the Happy Mac icon mask, so does the ROM SIMM. I really doubt this will cause any problems, but depending on how the upgrade card implements the patched sections of ROM (does it store a complete copy of the new icon, or just a diff against the stock IIci Happy Mac icon?) it might make the Happy Mac look totally crazy. Either way, it's probably not going to be possible to change the Happy Mac while the Daystar upgrade is installed. I suppose it could be done by tracing through and patching the code so it jumps around the normal "Happy Mac display" routine, but I'd rather not get into that at the moment...
The other thing is that the Daystar upgrade keeps the stock checksum in place, even though it's wrong after Daystar's patches are in place. Maybe the Daystar patch, instead of actually calculating the ROM checksum, looks to ensure the stock IIci checksum (368cadfe) is in the first four bytes, and if it doesn't, it plays the Sad Mac? It's a possibility. I may have to disassemble the changes that the Daystar ROM makes to see if that's what is going on. This is what I'm guessing is happening.
Other than that, none of the Daystar ROM patches overlap with the SIMM patches.
I'm also curious, as you said olePigeon, as to whether a ROM SIMM with a stock IIci dump will still work with the upgrade card. My initial guess is "yes", but I'm still kind of curious as to what the upgrade card does to override the built-in ROM in certain places.
Edit: It looks like the cache connector has access to the ROM output enable signal. It's probably overriding it at that point and putting something else onto the data bus whenever a matching address appears on the address bus.
Edit2: This whole "repeats every other 512KB" discussion from earlier was useful. The patched Daystar ROM sometimes jumps into the $40880000 space, which is not a repetition of the stock ROM. Looks like Daystar provides its own ROM that maps into that area as well...
Edit3: The Daystar ROM only disables the checksum test. It still calculates the checksum but forces the checksum routine to always return "OK". So I still don't know if there's somewhere else that's testing to make sure the original ROM signature is in place, but I'm still suspecting there's a test like that somewhere...