and beyond that it's back to "But the Spanish gave it to us!" - yes, except it wasn't Spain's to give
Pretty much the same as Gibraltar, no? The dutch gave it to England... except it wasn't theirs to give.
but every time Argentina gets into a crisis it's inept leadership
Corrupt leadership. FTFY.
If Argentina wants the Falklands there's a simple solution - stop being a bunch of dicks, be nice to the islanders and give them a reason to want to be Argentinian.
That's not true. Before the war, the islanders would come to Argentina and buy groceries and supplies here. They had a good relation with us. After the war, everything changed. The islanders are proud to be british. And if you think the UK, which has both economical (oil) and strategical (military bases) in the Malvinas would even think of letting the islanders have any real control over the islands, you're a fool. The fact that the islanders continue agreeing to being under UK control is because they're clever enough not to fall into the independentist revolutionarism mindset that Latin America has. The difference being that Spain never saw America as a territory to populate and extend. Spain was just a leech, sucking up all resources America had. Tremendous amounts of gold and silver were taken. Hundreds of thousands massacred. Spain never meant to negotiate or give people living there anything at all. They saw all the people living there as either slaves or tools to the empire. And that's why Latin America in general insists with the independentism. Because we've been looted by Spain.
UK had a subtler approach. The main expression of this being Australia, a territory that was populated by the british and thrives now. The UK didn't go committing genocide against all natives and just taking everything they could, and load into ships to take to the queen. They had a naughty child, yes, one that dared to go in a war with them, and win it. But that child is now their biggest partner (as a side note: Spain is the largest investor in Argentina).
At the time of independentist revolution in Latin America, the UK was under a different kind of revolution. The industrial one. The UK needed to export their production, and Latin America, the new, unpopulated territory, with no infrastructure, was an excellent candidate. So the UK supported the independence in Latin America, and built a LOT of infrastructure. If you pay attention, in the old parts of Buenos Aires, you can see "MADE IN ENGLAND" written in a lot of things. From the beautiful bronze door of what's now ICBC bank, to the subways of BA. Of course, the UK was clever enough to prevent Latin Americans from establishing their own trade routes, by building railroads that couldn't connect between countries (they made Argentina and Brazil different gauges).
we're not going to put up with them being bullied into it
I don't think any of you NATO members have a moral authority to call anyone else a "bully".
Also, you're obviously not even remotely an expert in international relationships. Let's make it easier for you: if Argentina "sits down to negotiate", that act itself would be considered defeat, and it would mean Argentina doubts its sovereignity over the islands. As a sovereign country, with a claim over a territory, Argentina can't and won't ever "negotiate" anything. As an example, look at this: https://en.wikipedia.org/wiki/Disputed_status_of_Gibraltar#British_position
The UK Government will never — 'never' is a seldom-used word in politics — enter into an agreement on sovereignty without the agreement of the Government of Gibraltar and their people. In fact, we will never even enter into a process without that agreement. The word 'never' sends a substantial and clear commitment and has been used for a purpose. We have delivered that message with confidence to the peoples and the Governments of Gibraltar and Spain. It is a sign of the maturity of our relationship now that that is accepted as the UK's position.
So, see? Argentina is not that crazy. We play the same international politics rethorics game everyone else plays.