"Israel must respond in a severe heavy-handed way if they are to dissuade any further attacks and keep their people safe"
This newer works!
Simple as that. Look at the evidence, please. This always leads to further violence, and ultimately mass slaugther.
Deterrence and prevention are different from post facto responce, and show of force is different from application of force.
Consider what went wrong in Afghanistan, Iraq, Vitenam. Consider how many Indian lives it took to end the Indian wars the hard way. Consider the Black and Tans in Ireland. Consider what happened when the Nazis slaugthered whole villages. Consider the Sovietunion in that war (27 million lost out of a total population of 200 million)
Now find the cases, please, where actually sending the troops in helped in something like this.
And then take note of how limited the deployment were, or how special the circumstances.