Hi Riley-
I'm a fellow on the fence about a few issues, too. I try to keep perspective on a few different things though, for me personally.
First, I always expect an axe to be the best at chopping wood. It's made for it and has every advantage. It should be a '10' on any comparison scale. The problem is a full axe doesn't do much but chop, and weighs a lot too. This nixes it for backpacking, for me.
A hatchet is the next best thing, and can often be much more versatile. I'd cite the Fiskars in this regard.
Next best bet is a saw. I love 'em because they're light and fast and quiet, and usually cheap. Problem is that they only work up to a certain thickness, or else you have to play lots of games trying to work your way around the diameter. Still, a very handy and frequently used item.
Then the large fixed blade, commonly called the choppers here. I've got the kabar bowie, like you, as a good example of this. So far, I think it's doing a great job of chopping, as much as a knife could be expected to do. The advantage lies in it's versatility. Unlike an axe, it can easily be used as a draw knife, to precisely split wood, brush clearing or cutting saplings, and it's often safer.
The machete seems great to my mind in certain environment, but in the woods there are just too many things that work better. Great tools, but tools for select environments. If I lived further south I'd always have my tram on me.
There are some things I know will always be on my person: a good folder (Vic Farmer), a ~4" fixed blade (Koster bushcraft right now) and 'something big'. I'm constantly torn up about what it will be, usually between the kabar bowie and the Fiskars. Both are great at a lot of things.
Right now I'm planning on bringing the farmer and koster, and then including the Fiskars saw and the kabar bowie and seeing how things go for me. Either way, it's overkill, but the good kind.
Hope that barely coherent rambling was helpful.
Oh, if you are in an area where living and dying (or being miserable) depend on getting lots of good firewood, and that wood is just about always timber sized, then an axe is likely the only way to go. Environment dictates tools.