Just read your first sentence. Look up the definitions if you have to. Take a day or two to THINK through what you just said. You have it all almost exactly backwards and is contrary to the idea of liberty.
Sorry. I don't mean to be rude, but that first sentence is just so wrong on so many levels that I can't believe that you actually posted it.
I appreciate your civility in disagreement since we usually view things from the same side of the table.
To be a 'reasonable' search there would need to be a good reason to search. With a good reason, there exists a probably cause to search. Same idea with different words.
The Fourth Amendment does not prohibit reasonable searches, nor does it require a warrant to do so.
It would not be reasonable to grab random citizens for pat downs, but it could be reasonable to pat down a group at a crime scene where one of the group is probably the perpetrator and probably still has evidence on him, especially a weapon.