No they're not.
The majority of weapons is in the hands of Islamists and warlords/pirates who are at war with one another
Women are not armed either
Edit: OT. I don't have a license at all.
In an Armed Land, Somalis Live and Prosper by the Gun - NYTimes.com
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The gun culture is pervasive, with AK-47's fired into the air in celebration after weddings. Private homes have their own heavy weapons. On the streets, pitifully thin urchins sit in the dirt playing with empty shiny brass AK-47 shells as toys.
Many people also admit that they are hiding their weapons at home or under blankets in their cars.
And it still seems as if almost every man and boy owns at least one assault rifle -- people like 16-year-old Assad Abdi Mohammed, whose teeth are stained brown from chewing khat, or Mohammed Jailani, a health official who bought two automatic rifles to defend his home from looters, or Ujer Ali Sheik, a onetime Government clerk who admits that he used to watch for food deliveries and then raid the warehouses, using his rifle as persuasion.
Granted this was pre-blackhawk down, but not a whole lot has changed.
BBC NEWS | Africa | Somalia - where the gun rules
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Weapons are even used as a way to break up the horrendous traffic jams which partly result from a lack of police.
Whenever our pick-up came to a halt, gunmen would get down from the back and point their weapons at the drivers of the minibus taxis who had stopped in the middle of the road to pick up passengers, causing gridlock further down the line.
Mogadishu hotels provide armed bodyguards as a matter of course
The minibus drivers did not seem shocked at the sight of the barrel of an AK-47 sticking through their window, but it did prompt them to speed up the boarding of their passengers.
Article: Somalia: Guns And `Rambos' Are the Rule - The Washington Post | HighBeam Research - FREE trial
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One of the most dangerous corners in one of the world's most dangerous capitals is the gun bazaar at the central marketplace here. It stands as a stark reminder of how difficult the task will be to establish order in a country gone gun crazy.
The bazaar is actually just two tables in an unimposing corner stall, tucked away at the end of a dusty alleyway on the divided city's south side. It is a kind of convenience store for heavy firepower, offering weapons ranging from handguns and hand grenades to assault rifles and grenade launchers. Somali men, young and old, come here to have guns repaired, replaced or reloaded.
In a city awash with guns, firearms, it seems, come cheaper than food ...