One squadron of Typhoon’s, one Type 45 Destroyer and one regiment of British troops would be enough to mangle any attempt by Argentina to land on the islands.
There are 4 typhoons in the Falklands, at one base. The Argies could open festivities at 4am some morning and wipe out the fighter fleet with sub launched Commandos, or a sub launched cruise missile or two.
Then speaking of Subs, they use the extremely silent German 209. Even nuke attack subs play sheer hell trying to find those in waters such as those in the Falklands Archipeligo.
And the Argie ships, A-4s and mirages carry exocets still.
It wouldn’t be the cakewalk the anglophiles think it would be.
The Brits could likely hold the islands, because it would be just as hard for the Argies to move in force to the island. But the Brits would suffer some nasty losses. Realistically they cannot project power much better than the Argies, especially down there. So the stalemate would contine.
The real nightmare is that the political situation has changed in south America. Brazil and other south Americans might ally with Argentina if that Argentine woman can cast this as Europeans against poor south America. And Obama would never help England. He hates them as much as he does us.
It could all get really weird.