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Perhaps, but not by much.
The switch to the GF2 touchscreens used on the iPad mini might shave a fraction off the thickness of the iPad, but I'm not expecting anything drastic. Keeping the thickness the same (currently 9.4mm), as Apple did with the iPhone 5s, would help maintain backward compatibility with accessories.
New iSight camera
The camera on the iPhone 5s has been significantly upgraded from the earlier version. The sensor is 15 percent bigger, with the pixels bumped up from 1 micron to 1.5 microns, the aperture has been increased to F2.2, both of which has improved the camera's low-light capability by 33 percent. The flash has also been upgraded to a True Tone dual LED flash that captures truer colors.
I would expect for Apple to use this camera on the new iPad.
The gold iPhone 5s seems to have been quite a hit, so I'd expect Apple to offer the same finish as part of the iPad 5 line.