If they could marry double handed weapons with a strength skill to make swinging an axe easier and faster would be nice.

The more you use a double handed weapon, physically, the stronger you get, the more able you are to wield that weapon and the more skilled you are at managing your stamina.

As many tools double as weapons in real life anyway, ANY double use weapons use should count as a skill increase on the that weapon type.

Whether you're cutting wood, or cracking skulls, it's still the same weapon with the same muscle groups.