Well... On the surface, Assad sounds eager to stabilize relations between Israel and Lebanon. He also seems to be interested in stabilizing Iraq.
However, Hezbollah is an active force in Syria. Syria has also funded terror in Iraq. So, in truth, Syria would seem to have control over Lebanon as a point of interest, as well as control over at least part of Iraq. In addition to this, Syria takes a submissive role in its relations with Iran. Whatever Iran does, Syria is afraid of countering.
So... if we look deeper into all of this, Iran is really the one that ultimately pulls all of the strings. This is why I think America should take a keener interest in negotiating with Iran with regards to stabilizing Iraq.
Instead of focusing on things like Iran's nuclear program, we should focus on the support for terror that both Syria and Iran have. We can persuade Iran to stop funding terror if, in exchange, we stop breathing down their neck about their nuclear program.
The Ayatollah may be ultraconservative and anti-Western, but he is more interested in creating a nuclear defense system for his country than in maintaining terror connections. In the long run, Iran is looking for a way to defend itself from powerful nations. Supporting terror is the behavior of a less stable and more desperate government, and soon enough, they will no longer permit such behavior.
Essentially, we have to make it in the best interests of both Syria and Iran to stop funding terror. Once we have their cooperation in apprehending terrorists, the War on Terror will be a lot more successful, and stability will slowly develop in countries like Iraq. None of this involves further invasions.
Israel's part in this will involve a concerted effort between them and Syria in eradicating Hezbollah. We must somehow find a way to get Syria to sever its ties with Hezbollah. If Syria stopped funding Hezbollah, they would be much easier to defeat.