Dwarves have always been my favorite race to play, and I've used many weapons. Had a bare-fisted brawler, a dagger and shortsword rogue (primarily, though he carried a number of weapons at different times), a scimitar-carrying reject from Al-Qadim, and one sawed-off, axe-swinging nutjob.
I have played a large number of dwarves in my gaming career, most recently, my current character, Bergar the Black. He does his fighting with a typical axe, at least until it was shattered. Now, he uses a +1 longsword. But, soon, he will be back to being his grim old self.