Will this pack fly?

I am flying soon to Phoenix, AZ in March and want to take all my gear with me. I have a Crumpler Brian's Hot Tub (13.8 in.x 9.8 in.x 21.7 in.) and have never flown with it. The airline max size for carryon in 45 inches total. Has anyone flown with this bag before? Do I need to purchase something else that will fit? If so, what would for sure fit in the overhead? The Think Tank Airport Acceleration looks like it might work. Bottom line, I am not about to check my camera bag and want to make sure it comes on board with me. My gear is as follows:
Canon 1D Mark II N, Canon EF 17-40 f4L mm, Canon EF 100 mm f2.8 macro, Canon EF 300 mm f4L IS, Canon EF 50 mm f1.4, Canon 1.4 extender, Canon 580 EX, Canon 25 mm extension tube. Thanks for any help.

that bag is over by .3" They're not gonna care, I've never had an airline question the size of my carry on and i'm always over.

deadpass wrote in post #2526374
that bag is over by .3" They're not gonna care, I've never had an airline question the size of my carry on and i'm always over.

Agreed. Never had a problem.