I assume Broughton is siding with the crowd who will secure his job. Doubt it's anything to do with any real loyalty to Liverpool. The last Chief Exec (can't recall his name) did the same when bringing in the Americans, but eventually got forced out after clashing with Benitez. As long as Broughton knows his place is in the board room and not signing players then that's fine.
Doesn't Kraft have a stake in Arsenal?