[racehorse]

the contemporary stance of hizbu'llah and the great majority of other arab leaders is certainly not, as you say, to "destroy israel". hizbu'llah is clearly anti-zionist, a rejector of the state of israel, and would gladly, in an ideal world, replace it with an islamic theocracy however, in these situations you will often find ideologies being sacrificed for the benefit of the people. the current position of hizbu'llah is that they have accepted the two-state solution based on pre-1967 borders if that is what the arabs want. this solution recurringly finds majority support amongst the israelies.
currently, arab leaders have become doubtful as to the legitamacy of the currently debated "bi-national proposal" as it differs to the pre-1967 map to such an extent that it turns the so-called "sovereign" state of palestine into a mesh of barbed wire, blockades, shriking boundaries and checkpoints - you could say that israel wants to create the largest prison the world has ever seen. as a result, arab leaders have become naturally dissatisfied with the way the two-state solution is panning out.
arab leaders have almost always been open to negotiations but they are naturally beginning to loose faith due to the fact that they are almost always masterminded by israel and thus break down due to israel's refusal to compromise over its harsher than harsh land proposals.

of course, the nature of islamic fundamentalist ideology muddies these waters considerably, but all things considered the fact that israel kills 100 arabs for 4 israelis shows that israel really has very little leg to stand on. if israel would only accept the green line proposalwe would be on the road to peace.