I came across this story earlier today. I seriously doubt the White House staff had anything to do with this incident. From what I've read, the Park Police overstepped their bounds a tad, but they were doing their jobs.
If anything, the MPs would probably get involved...maybe even the DoD, but only AFTER local police who have jurisdiction in this matter have done their jobs.
Sure the White House is very much aware of gay rights activist handcuffing themselve to the White House gate off Pennsylvania Ave, but as I understand it the Park Police have jurisdiction in that area. They were just doing their job in trying to maintain order before the situation turned into civil unrest.
Sidenote: As much as some would like to Pres. Obama for everything that goes bonkers, not everything is his fault. Geeezzz!