Pragmatism states that reason and facts can both be employed to achieve practical results.
What are potential practical outcomes of this never-ending, protracted problem? In order to get there, youse have to negotiate a lasting, permanent solution.
Let's start with with what each side (assuming there are ONLY two sides) NEEDS:
1. Israel needs security in order to build and develop a modern western civilization on the eastern shore of the Mediterranean Sea.
2. Hamas needs to displace Fatah as the single political authority of the Palestinians in order to establish a legitimate entity that abides by the norms of modern western international law and behavior.
Israel is, unfortunately, in a reactive stance; it cannot destroy Hamas and it cannot promote Fatah.
Hamas cannot yet topple the Ramallah-based corrupt engrained Fatah faction; Fatah has a snowball's chance in Hell of regaining Hamasland and a unified PLO based on the West Bank. Hamas exists for the sole purpose of making Holy War, not governing or building a viable society.
Jordan doesn't want the Palestinian headache; it probably can't afford to provide the welfare state benefits the Palestinians expect. Egypt doesn't want the Palestinian headache, even if it was only the folks in Hamasland; the Egyptian economy is in bad shape and doesn't need more mouths to feed/subsidize. The Palestinians are the wards of the Untied(sic) Nations.
SOLUTION: When the next aggressive bombardment is initiated from Hamasland, the Israelis "invite" the Pals to pack up and put on white clothing and head South to the Land of the Nile because the response is going to be overwhelming. Playtime is over. Allow the Pals safe passage South over three (3) days while doing "precision strikes" everywhere in Hamasland as long as any rocket, mortar, or other weapon is being fired into Israel. When the firing stops and the line of departure is ended, the IDF needs to go to Hamasland to destroy everything and root out any straggler terrorists. When tranquility is assured under secure conditions and the destruction is complete, rebuild the land. Then repopulate it with hard-working people. Develop the place and let a market economy return. When the land and people are prosperous, annex it. Youse see, the Great Gaza Experiment of Land-for-Peace was an abject FAILURE and bad experiments must be terminated.
Let the Muslim Brotherhood take care of their displaced Islamist brethren as is their duty under the Koran. Over the next 500 years, the Muslims of the world may reform, modernize, and even become civilized in a western sort of way. Enough is enough. QED.
Otherwise, look for more of the same. Holy War and needless bloodshed instead of hopey, changey, progress. All IMHO.