There are only two possibilities. Obama is legitimate, or he is not. If he is not, then all orders and legislation issued under his authority are invalid. I would think that the more time that goes by, the more devastating it will be if he is removed. Can you think of any other path that would cause this to be decided as quickly? I can't.
All of the other lawsuits will be stone walled and delayed until they are irrelevant. But if sufficient numbers sign on to this suit they will have no choice. I have confidence in the military to deal effectively with any disruption this my cause while it is being settled.
I also think there are sufficient differences between this case and typical orders issued through the command structure that there will be no disruption to it. 1) Most all members of the military are smart enough to know the difference, and 2) the military will not allow it; NJP will be administered swiftly to anyone who attempts to use this as a means to disobey a normal order.
NJP [Non-Judicial Punishment] is punishment which a soldier accepts rather than demand a court-martial. There is no requirement to accept such punishment. One might question why Cook was not court-martialed for refusing a lawful order.
George Washington was compelled to punish recruits who attempted to leave service prior to the end of their enlistments. The fact that they volunteered for such enlistments in no way protected them from such punishment.
Similarly, though Cook volunteered for service, once he was issued ORDERS, he was required by military law to obey them if they were lawful.