I doubt that. Syria is probably planning for the next war. Since Iran doesn't have nukes yet, they are trying to bide their time. This doesn't mean that Syria isn't behind all of this, they probably are. They are trying to divide our forces and sow uncertainty. In reality, NK, Iran, and Syria are probably all working in concert.
Syria will let Americans pass through, but will probably give some incentives to stay, for future use. If Israel invades, Syria will survive since Israel is not large enough to support an occupying force (Syria and Iran combined have 12 times the population of Israel). The only power Syria really has to fear in the Middle East is the US. Only by making the US withdraw its interests from the Middle East will Syria ever be able to destroy Israel.
The Syrians will get them to stay and by the time Israel is ready to attack they will be hostages. Mark my words.