That really depends on whether the delegates that voted truly represent their troops. It's entirely possible that gays infiltrated and volunteered to be delegates in order to win the vote. And if the churches respond and weed out these delegates they can reverse this.
It's going to take a lot of troops asking the tough questions and making sure that they are sending the right delegates to reverse this. But it is possible.
There are some things that cannot be reversed by this decision. That people don't recognize that is the height of self delusion.
For one, once activist scouts "come out" or join the BSA, there is no conceivable way to "reverse" the proclamation of their proclivities. Even if the policy is reversed, these boys will be allowed to remain members by virtue of "good faith" (they joined or announced their homosexuality according to policy at the time) at the risk of a deluge of lawsuits that the BSA will have no chance of winning. These homosexual scouts embedded within troops will remain a foothold for the Gaystapo to continue exerting immense pressure from within the organization.
The BSA has essentially forfeited their Supreme Court victory of 13 years ago. They cannot reverse this.
Other Freepers on this thread and elsewhere on FR have pointed out that council delegates are selected by the the council executive committee (officers) with the guidance of the council scout executive. Most of these delegates are heavy financial donors to their local councils and are active, to some degree with Scouting. The largest councils only get ~15 extra delegates at the annual National Council business meeting.
There were several articles preceeding the vote which rang the fire bell that homosexualists were planning on crashing the annual National Council business meeting. From all the accounts I have read from those who were actually there, the secret ballot was rigidly controlled to prevent non-delegates from participating. Of the 1400 voting delegates, 1188 (~ 85% turnout) showed up to vote. While I am heartsick over the result, I have read nothing to indicate the voting process was compromised.
It's going to take a lot of troops asking the tough questions and making sure that they are sending the right delegates to reverse this. But it is possible.
Local units can only petition their local council executive board members. Sadly, "they" outnumbered "us" at the 5/23/2013 meeting. 50