Face it, that's the only interesting topic you mentioned.
Looks like BSA hasn't even changed its name yet, though. In the future, girls joining Scouting might have to say "I'm a Boy Scout" with a completely serious face. The Girl Scouts still exist, too, so this isn't even a merger yet. It's mostly just hurting Girl Scouts, which already mostly sucks to begin with.
Plus, Boy Scouts already has a program called Venturing that includes males and females, so this isn't much of a change.
(By the way, if Girl Scouts sell cookies, then what do Boy Scouts sell? Popcorn! Yes, I'm serious. Maybe in the future they'll merge and take over as the biggest junk food magnate in the country.)
I don't think inclusion of girls will help with membership much. Boy Scouts just needs a new advertising campaign/public image to showcase what actually goes on in Scouting, which can actually be pretty impressive at times.
Mizal's idea is a start, but I'm thinking bigger, more exciting. Drop the paperwork. Eliminate the merit badge system. The only rank will be Eagle Scout, and boy will it be difficult to get. Here are the new requirements:
1. Save someone's life using first aid.
2. Go on a 20 mile hike/50 mile bike ride.
3. Hang on to a flying helicopter for 5 miles by tying yourself onto a rope dangling from the bottom of the helicopter.
4. Collect 5 crabs at the bottom of a lake using only your body and a spear. Roast the crabs using only two sticks.
5. Sleep out in the woods with no clothes on in northernmost Alaska. If you fall asleep for more than an hour and don't die, then you get the requirement.
6. Die for your country and come back.
7. Every year, a huge melee arena fight will be held in every state welcoming all prospective eagle scouts. Participants can bring and use whatever they can carry in their hands to fight in a football stadium. The 10 surviving kiddos will become Eagle Scouts and jump off a cliff using only the American flag as a parachute in order to receive their prize.
Motto: Be Prepared Only the Strong will Survive.