You know . . . an easier way of refuting the irreducable complexity occurs to me.
I have a bowl filled with hot water and a lot of dissolved sugar.
So, I put a stick in it with a few grains of sugar on the tip and–right away–sugar begins to crystalizeon the stick, and then we have rock candy.
The crytalization represents order, as the sugar molecules are moving around at random in the solution in the bowl . . . yet lined up in a neat, repeating pattern when the solution cools.
This process is not a violation of the 2nd Law of Thermodynamics.
Yet it demonstrates that order can come from disorder if there is a corresponding increase in entropy somewhere else.