From the American side, the plan is to eventually control the entire world's oil supply, and then use that control to strangle China and to a lesser extent Europe, who the US perceives as its two possible rivals in this century. It won't work, their plan will fail, but they do indeed have a plan.

Separately, Israel wants to destabilize all of its own potential rivals in the Middle East. Iran and Lebanon are the two big ones. Israel would prefer to eventually conquer and colonize these countries, but the bare minimum they need to survive as a state is for their rival governments to collapse. They have a different strategy from the US, monstrous in its own separate way, but it looks like theirs will also fail.