A Fiskar's axe is adequate (barely), but as mentioned, axes cut, hatchets split. In the right hands (ie, someone whose father coached them from childhood), an axe can do everything you need. In ignorant hands, it's a deadly accident just waiting to happen. A plastic/fiberglass handle is just a crutch... an expert doesn't break handles because he never misses what he's aiming at.
A full sized bowsaw can also be dangerous in the wrong hands... careless handling can lead to ragged cuts.
I have noticed a fatal attraction between the ignorant and sharp tools that often results in injury.
A better combo for most people, after some basic instruction, is a small folding saw, like a Bahco Laplander, and a hatchet (properly sharpened and safely used to SPLIT, not cut). As mentioned, for many trips, you can get by without either tool, especially in the summer.