That you're primarily concerned with disruption to life and financial burden rather than casualties and infrastructure indicates that iron dome is already capable of preventing these rockets from being a serious threat.
The absolute asymmetry of every war they fight is proof enough that the only real solution is a commitment to negotiations and diplomacy. Palestine has under constant siege since long before I was born and they still haven't given up despite having the worst kdr of the last 80 years. They don't care about the laser dome, they will keep fighting.
Also I have doubts about this laser boondoggle, its far more susceptible to atmospheric disturbance and flack than a surface-to-air missile and it relies upon having access to a stable source of electricity during an air raid.