I think that it is something of a strawman.
Firstly, the analogy to a moustrap is far from being entirely accurate.
Secondly, Behe focusses exclusively on biochemistry so if we are following Behe's argument the only "parts" we should be looking at are individual gene-products (and ultimately genes.
Thirdly, "new" body will be relatively rare and inobvious. We are more likely to see neutral modifications to an existing "part".
Fourthly, and this further developes the third point, all but the simplest examples of Behe's IC are likely to come from coopting the workings of existing parts which evolved for other functions entirely. The idea that the whole structure must evolve in a single "go" for the current function is itself a strawman - and one the argument from IC relies on.