Sir, the Muslim nations have been co operating with Israel for a decade using back channels. We need to stop thinking of an Islamic world, Pakistan was the first to present the idea of Islamistan but Arab nations rejected it on the pretext of Arab nationalism and seeing it as Pakistan's attempt to exert influence, so while unfortunate, it cannot be a reality right now: everyone is doing what's best for the nation, time we do too.
Secondly, I agree that Israel has good relations with India but remember that it is mutual co operation. Israel was the first to approach Pakistan to set up relations and they tried during Musharruf's era too. Both nations were born on religio-national ideologies, they associate their nation heavily with Judaism, and are people of the book, and we associate our great nation with Islam, this common ideology holds a lot of bonding potential between the two countries. Like Netanyahu said on his visit to India, Pakistan isn't Israel's enemy and neither is Israel Pakistan's enemy.
Right now a sudden shift in policy towards Israel will bring a huge change in co operation because this recognition is something Israel yearns for like a lifeline.
We should do it before the Arab nations do, they are on the brink of it in the next 30 years or so. You already saw what happened in Oman, the National Anthem of Israel was played in Abu Dhabi, and an Israeli delegation had planned to visit Bahrain.