I completely shares your sentiment. They are sinking ship and are trying to gain and prop up legitimacy by requesting India into a war.
I think a short war is very likely if we give them a spectacular display. They are craving for it. We don't need to do that.
What i think we should do is help them in sinking and accelerate their sinking by putting a drag weight on them. My proposal is to do what pakistanis do regularly. That is break ceasefire. We should pummel them with artillery. We should open different fronts and rotate between them. Our shelling should be everyday and year around. In between we throw some two or three stray short range missiles. Also, we should also creep our boundaries forward.
A long low intensity shell barrage favors us. It limits the hostile actors response too. Let us cook these frogs slowly.