" if we are the product of intelligent design we certainly can expect that we can trust our assessments of what is reasoned, and make informed judgments on such."

If this were so and everyone is designed by God then everyone's assessments of what is reasoned, would be trustworthy. Yet you don't even trust Bill's assessment. And Bill uses logic, a process created by minds which were designed by God ,and therefore obviously, by your logic, trustworthy, for making such assessments.