Hezbollah is starting this war at a severe disadvantage to themselves - they lack the logistics, the resources and the secure base from which to operate.
The world is going to see a LOT of this asymmetric warfare over the coming decades. The kill ratio will probably be in the range of about 25 guerrillas to each commando or special forces member facing them. Thus, even if ten jihadists spring up for every one killed, eventually the ratios start to work against them.
Warfare is a very expensive proposition, and more than one nation has been vanquished because it was driven into bankruptcy. Hezbollah is only a mercenary group, and without the support of a modestly wealthy nation (Iran) they would have folded up operations already.
I suspect you're underestimating the influence of islamic fervor over these brainwashed sand monkeys. While funding certainly enhances the sophistication and effectiveness of their operations, I doubt that the the lack thereof would in any significant way, degrade the motivation of their ranks as long as the imams continued to sit in their mosques and spout their propaganda.