Electrostatic dipole interaction could explain all magnetic Lorentz force angles. Maybe we should perceive magnetism as two electrostatic charge vectors, instead of one special vector, which we call magnetism.
This concerns me because the geometry of charge motion in a wire probably resolves into the same geometry of permanent magnetism, ferromagnetism and I can't see it yet. Plus, I conclude charges can't exclusively move in the same direction in a wire carrying current. That is interesting, too.
(a note which might be unrelated: I had a flash idea just now Mar 30, 2012 that magnetic attraction looks wire to wire for DC and the rotational view of magnetism might show up in an AC field and that might explain Lorentz force appearing rotational instead of wire to wire too and of course that has an implication for what magnetism really is an expression of spin. I'll erase this later. It is just half asleep dream I just had and must not lose).