If A is a bully, categorize B as possible future mark. This for very few A, B and opportunity.

If A is not a conscious bully (for lack of a better term), B could be perceived as artificial, weak, blunt, out of bounds, insulting, exploitative, etc. Reaction is to push "out" and "defend", maybe "as if" leader. Introspection at A may overcome reaction, though may need reassurance from respected source (=leadership). A and B will probably never work great together, though minimal interaction can work consciously. How A and B relates defines span of real org culture (in heaven).