Thinking on it further, a Weapon:X is defined as something that deals more damage to the target, but doesn't make it any easier to hit that target. Most of the social weapon ideas that we've been throwing around don't qualify; a knife or gun will help the intimidation go alot smoother, food and drugs aid directly, and so forth.
If you want to take them as an item of power, you could do that, then add a bunch of powers/stunts to it.
IE, Item Of Power: Shotgun [+2]
[-1] +1 to intimidation (this is a power, not a stunt)
[-1] +1 bonus for scaring people and getting them to go along with what you say, spend a fate point to add an addition +2 intimidation once a scene
[-1] Moves the social defense trapping to intimidation (the idea being when you stick a shotgun in someones face they are less likely to give you lip or try to threaten you)
[-1] +1 to Gun roles (this is a power, not a stunt)
[-1] +1 to attacking with a shot gun, spend a fate point for an additional +2 once a scene.
this is a -3 Item of power that for nothing at all gives you +2 to intimidation, double that to +4 for a Fate Point, the same thing for Guns, which means lets say your a Hendricks type you take Guns and Intimidation for your apex skills + a high endurance skill, add in a stunt like No Pain No Gain, a stunt moving dodging to endurance, and likewise a high athletics and presence you can have a pretty big bruiser that is real nasty with in both a fight and in social combat who still has a possible five fate points available to him at the start of a game (possibly less depending if you take more stunts).