As an aside, I wonder what Bashir might have done had he been forced to fight. His genetic enhancements might have helped him defeat Jem'Hadar, but would he have risked revealing his secret just to stay alive? An interesting idea could have been to have him suddenly overpower a Jem'Hadar solilder- perhaps to save Garak- and claim that his adrenaline took over. As his secret was revealed in the following episode, it would have been a nice hint at what was to come.
But there was the episode where Worf believed Bashir was interested in Ezri and so he goes to the medical area to warn Bashir off her and puts his arm over Bashirs throat and Bashir tries to fight him off but doesn't have the strength to do it (and this was long after everyone knew about his genetic engineering)
I'm not sure if he was actually that strong - wasn't he engineered simply to have better hand/eye coordination and agility etc