Careful here on this! I did IMC and I too am a climber (and thought the same thing), but it didnt work out well for me on this course, beacuse......I climbed strongly up the three climbs, passed lots of people, but wound up shuffling the run affter 6 miles. Passing people was fun on the bike was fun, watching them all go running back by sucked. I now know that I made the classic IM mistake.
Well, if you like me are a slow enough swimmer (1:16 on that day), then you can pass ~1,000 slower bikers on the bike and still not shuffle the run. Not that I was running fast on my first marathon, and a big unknown after two stress fractures training.
So remember: the key is to swim slow so you can reel in more bikers ;)