In conclusion, 4 display can be connected to 4s. I am using like this, now. But you need some trick. iPhone 4 display assembly can not bind to 4s frame directly because 4's display assembly binding legs location are not matched to the 4s's location. You can tear the white(or black) plastic frame of 4 display assembly. Binding legs are attached to this assembly's plastic frame. If then, you can connect 4 display to the 4s body.
It works greatly! I also did like that. No need to tear down other parts. Just detach the battery directly from the 34th steps. I used the Loctite P-555 adhesive remover spray and plastic spudger. After spraying to the spudger, push the card underneath the battery cell softly. You can remove sticker easily.