The Malvinas are clearly Argentine, but the people who live there want them to remain affiliated with the UK.
All over Argentina, on many highways, there are signs along the road that declare "Las Malvinas son Argentinas" (The Falklands are Argentine).
I did see one that was defaced and proclaimed "Las Argentinas son de los pingüinos" (The Falklands belong to the penguins).
Things are pretty bad in Argentina. The hostel where I stayed that was always booked weeks in advance, sent a message that they are going out of business, because it was no longer profitable. It was supporting six couples and their families from 2000 through 2010.
Nothing will come of this, there will be no war.