Feels fine from what i can tell, i can feel a sort of "cut off" rough thin plate behind the discs, that is cut off around where the brake calliper is. There seems to be ample space between this and the discs
Personally and from other similar reported issues in the past, I would put this down to a lack of copper grease between the shims ( the thin plates you mention) and the back of the pads and the caliper/piston faces. And are you sure both sets of shims are in place?
See pics in the first post of this guide, and particularly those just over half way the pic sequence:
http://www.350z-uk.c...embo-pic-heavy/