Interestingly, the Falklands Island Defence Force appears to be closer to the US concept of a State Militia rather than a Territorial Army/Army Reserve unit. I figure that's how the Falklands can state that defence is the province of the British government when there is obviously some contribution by the Falklands local government.
That would go some way to explaining why they are equipped the way they are.
The following article details the 150th anniversary of the FIDF
http://www.falklands.info/history/histarticle24.html