Why divide character types between magic, physical attributes, and social skills when in play a combat/rollplay focused character will just roll to destroy the obstacle or situation in front of them?
Whether the fluff is that they slung a fireball, hit it with an axe, or bullshitted it into leaving them alone; it doesn't make a real difference. Let's call this playstyle #1 - The Tom.
If you want to be the guy in the group who tells the other characters when to roll their awesome abilities (tells the face who to go schmooze and when, directs the brick or facemelting wizard at the correct victim), now that is a different playstyle from the first one. Let's call it #2 - the Caleb.
If you often go off by your own and generally are treated like an eccentric, madman, or idiot by your fellow players then your playstyle involves making decisions on your own and dealing with/surviving failure. That's #3 - the Aaron.
And if your playstyle involves taking whatever mechanical role and abilities let you roleplay the most, primarily by injecting unwanted singing/alliteration/puns into the game, that's #4 - the David.
The Tom rolls to do the thing and wants to succeed at doing it. He doesn't care about what he is doing as long as he's winning, and will take orders from someone else just fine.
The Caleb wants the team to succeed and doesn't care who does what as long as it gets done right. He doesn't need to be directly responsible for the winning blow to feel like the winner.
The Aaron wants to be able to do whatever he wants and doesn't care if he fails at it, as long as he can go off and do the thing and have an adventure doing it.
The David doesn't want to just roll to do a thing, in fact he'd rather not roll at all if he could get away with it, he wants to act out a radio drama about what he's doing.