It's too bad Eta has gone to bed. I have realized that I have a mental picture of the process that I have kinda made up over the years and it may not be right. I'll post it here and he can correct me if I'm waaaay off base.
I picture a large cloud of dust and stuff. It has a lot of more or less random motion of the individual bits. But the chance of the sum of all those producing exactly zero angular momentum has to be pretty damn low, don't you think?
As they start to collapse they interact and a spin axes starts to be defined around what would have been the mathematical axis when they were only weakly interacting due to gravity. They interact gravitationly enough to produce a collapsing cloud in which particles with the right momentum "spin out" (faster ones perpendicular to the spin axis and not directed away from the center). This produces and equatorial bulge.
What I'm picturing is there are somewhat more particles in one plane (which is what would have to be true if there is a net angular momentum). That produces a gravitational pull to that plane for the others. So there is finally a "real" equalorial plane which is the bulge.
Now finally, the ice skater effect can start to work just as we would visualize it.
Mmmmm another thought just came to me. This whole cloud is already going to have some rotation since one side of it is a little further out in the galatic disk than the other. Does that work? Could it be that the angular momentum of the solar system is, partially, derived from the rotation of the galaxy?
Ok, I give up. Time for someone who actually knows what he is talking about to take over.