In short, yes. I haven't played WoW in years, but in my time it was pretty easy to keybind everything you need. And I still use a simple Microsoft keyboard and a Logitech MX518 so. Most classes have kind of 'overlapping' abilities too, and addons like Clique make it even easier. The only things I clicked are my raidframes (healing with Clique) and like VERY long group buffs (paladin shit, professions, random pet summoner etc.)
As for the minimap, Birg shows his UI's generally in combat. Now ask yourself, how much do you REALLY look at your minimap in combat, and what super critical info does it give at a glance? You're right, nothing.