Provided the person being searched could be reasonably considered a bomber. Some 65 year old white dude is not reasonable. Two 20 year old Arab guys with backpacks and shifty eyes would give a reasonable reason to search. But with no racial profiling, all these searches are unreasonable.
And .. you have documented evidence that 65 yr old white guys are being stopped. So far, I haven't seen anybody on TV being searched that resembles that description.
I believe the cops are "profiling" .. just not being obvious about it. And .. I would trust the gut feelings of a cop any day.