The Heavy Bowie has a 1080 blade hardened in the mid 50's on the Rc scale. The BK-9 has 0170-60 and is hardened to the upper 50's on the Rc scale.
I like the edge holding of the Becker's. The KABAR is probably tougher due to the lower Rc hardness, but, you might be sharpening it more often if you use it a lot.
My Becker's have shown themselves to work very well for the tasks your asking about.
I haven't actually used one of the new KABAR's so I can't really comment on how well they would or would not fare in the area of wood working.