Things that make a dwarf a dwarf
Personally stoic, unmoved by flights of fantasy or whims. Elves and humans are twits, and orcs and goblins are bundles of impulses with no control. A dwarf isn't moved to quickly shed tears, or display wanton emotion. He may weep, but he weeps for his slain brothers, not for fallen trees, or because someone hurt his feelings. He may be moved to rage, but such things grow slowly and are vast and deep and powerful.
Dwarves are also builders and makers, creating things with their hands, with their minds. They can certainly use magic, or clerical magic, but a dwarf is best when working with his hands, be it cutting stone, making a watch, cutting jewels, things great and small. They are disciplined, industrious, organized.
Dwarves are also about self denial. There is a reason that so much fantasy attempts to assert female dwarves and they just don't work. Dwarves are masculine in the extreme. They are soldiers, buildiers, workers among workers. They are not lovers, they are not Lotharios or Casanovas. When they are family men, they are the aloof stern father. They are demanding and strong, proud and bound by honor.
Beards, axes, and all of the rock vikings is just window dressing