Glenn, please re-read what you wrote. The thing anti-evolutionists are missing is the power of iterative systems. The assumption in most design arguments is that the object arises like Athena sprung from Zeus' head, fully formed. Of course a mousetrap or human body is unlikely to be formed by shaking a box of parts. My serious criticism is that a mousetrap is absolutely useless as an analogy to the question of design in living systems.
Living systems reproduce.
Paley's watch doesn't. We recognized the need for design in a mousetrap or Paley's watch precisely because of it's inability to procreate. Iterative systems like nonlinear systems produce remarkable patterns. In order to prove that design case, one must prove that simpler systems are not able to perform the task and that there is NO pathway to the current system state from simpler system states. In the case of the mousetrap or Paley's watch, we are forced to conclude human design and manufacture because there is no pathway to the fully developed state.