The Oil Drum

You seem to have forgotten that the Argentines actually invaded the Falklands. Forcibly. Armed with weapons. You also seem to have forgotten that the Argentines at the time were in thrall to a military dictatorship (which had 'disappeared' 10-20,000 of its own people). The Falkland locals did not ask them to invade. At the time (and now) 99% of the population wanted to remain linked to the UK.
As for it being a 'war we can win' - I suggest you study the campaign in detail; the UK forces were operating at the end of a 5000 mile seaborne supply link which was extremely tenuous (with aircover provided by less than 30 Harrier jump jets), and the Argentine military (particularly its aviation) were no Grenadian militia (I wonder if you have heard of the word Exocet?). The loss of one aircraft carrier would have doomed the enterprise. Considering the difficulties with logistics (at one point the Argentines knocked out 90% of the UK forces heavy lifting helicopter force) it was really an immense gamble to even undertake the mission.
Still, hell why let a few inconvenient facts get in the way of your political bias.......