Israel made peace with Egypt and Jordan, its two biggest enemies, and they have kept the peace for decades.
The Lebanese conflict started on 12 July 2006, and continued until a United Nations-brokered ceasefire went into effect in the morning on 14 August 2006. We see what a ceasefire lead to, only for Hamas to beef up Hezbollah to get what you have today. Same with Hamas in Gaza, as each ceasefire lead to Hamas building up to what we have today.