Throw them away from the windows into other mooks, and whatever you do, don't throw your punches in melee range of the glass itself. That's what screwed me over in my first attempt.
Sadly, I think I can see that being the solution.
Last time I played, I even went "Whoa, that took some damage" when I punched the glass accidently. I will try that, thanks pyrion. I guess brute force isnt always the answer, but its hard with this character.
Since there isn't any "HOW DO YOU PASS THIS!?!" all over the net, Im guessing I have been punching that glass too much myself, and causing my own undoing. Thanks again, will post back.