I'm sorry, I thought UK had a far more longer history dealing with IRA than it seems. I thought the conflict was a lot older, but only escalated in 1980s.
What it comes to reason of Falklands war, why did Argentina attempt to annex the islands? My interpretation is simply that UK was seen as a far distant power that was estimated as unable to project enough power or resources to Falklands to attempt the retake. The militaristic factions must see Israel in the same way in order to keep on fighting.
The reason why UK could negotiate with IRA is simply because it was possible to reach a compromise, i.e. UK had something to fall back on. I don't see the same thing possible in Israel as long as the Palestinians do not accept the existance of Israel. That would mean Jews would be driven back to Mediterranean sea, hence my comment of relative dissimilarity of the theaters.
More equivalent thing between UK and IRA would be that IRA would request English people to move back to France and leave the English land area for them. Or at least that is my take of it.
Mika