Not a problem.

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I measured the top part's apparent thickness in the center, if looking from the front or rear of the bike, and I get about 9.0 mm. I just squeezed this region between the full blade length of my calipers. Of course the thing is highly sculpted on the underside, so it may be tough to make direct comparisons.

It seemed in looking at the 'bottom' part, that the sculpting allows the top to interface with the bottom piece, the special radiused top nut, and still do its job clamping the saddle rails. Unless Kalloy didn't innovate at all in the design, I suspect you'd need to use all three pieces together.

I became a bit curious after my first post, and was wondering if the radiused part of the post-attached aluminum that the bottom part slides on, with the notches, has the same radius. but when I took it apart, I found that it's not really an arc at all... I figure it makes 2 'line' contacts wherever you chose to position it, so it will probably interface with your 'bottom part' okay, even if they have different geometries.