Ace mechanic Art Franke has managed to rip the heads right off of the two bolts that secure a water bottle cage to his Trek Y frame carbon fiber bike. He religiously greases all threads before installing bolts, except for two times. Rumor has it that these happen to be those two times. Ace mechanics like Mr. Franke do not comment on rumors.
How does one fix such a problem? Is this something his LBS could do?
Tinkering in Florida,
If you busted the heads right off, the bolts are probably siezed. You could try a bolt extractor like an EZ-Out, but if that break off you’re really screwed (pardon the pun). I’d probably have the LBS give it a shot rather than try it myself. If it was steel or aluminum you could just drill the hole out and retap it with the next larger size but because you’re talking carbon this makes it a bit trickier, I think (I don’t know if you can drill and retap carbon).
Actually, in the case of the Y frame, There is a bracket that is in turn attached to the carbon fiber. I think this bracket is made out of aluminum. The bolts screw into it .
The problem with drilling it is that I don’t have the clearance to get a drill in there. There must be some kind of drill that can do it like a dentist drill would.
It seems like one could drill a hole into each bolt, tap it with a left hand thread and screw a left hand bolt into it. I have none of these tools though.
Frozen in Florida,
Been there, done that. Fortunately my brother owns a machine shop so if I f*ck something up all I have to do is take it over and then buy him a beer afterwards. Of course he doesn’t do it himself. He has a few guys working for him and it always go to the apprentice!
My suggestion is if you can’t get it fixed yourself start telephoning to the local machine shops in your area. Sooner or later you’ll find one willing to jobber it for you. They shouldn’t charge much and sometimes they’ll even do a small job like this for free just as a community service. Let the pros handle it in case you screw it up even more.
Sounds like a job for a precision machine shop, frankly (no pun intended).
A bolt that small is fiendishly hard to drill and tap. It would normally be done on a drill press, but you can’t get a drill press in there, I imagine. I like my LBS guys, and there are some good LBS’s around here. But, I doubt any of them have the machine skills or tools for those tiny little bolts.
It might need to be drilled out and heli-coiled.
Or, give up and put the bottles behind the seat. 
Do they even have machine shops anymore? I used to work in one sweeping floors, but haven’t seen one since. Do I just look for machine shop in the yellow pages?
Frozen in Florida,
“Do they even have machine shops anymore?”
Not the way they used to, but they’re still out there. My brother’s shop is actually highly specialized. Very expensive machinery, a couple of engineers, a couple of machinests and an apprentice. They are actually a bit of a design house but also take work on consignment. They’re a decent sized shop so it’s not like the old one guy working out of his garage with a lathe and a grinder, although he’d be the perfect guy for this.
They have some big contracts but they’re the type of guys that would fix this for you if you dropped a small job like yours at the back door. In fact, their apprentice is a mountain bike racer so he’d be glad to help out. I’m sure there are still places like this around in your area that will take on a small job if you check it out.
Try someone that does performance customisation on cars or motorbikes, espsecially classic - they tend to have every tool imaginable.