What you are saying sounds possible but a little far fetched.
Firstly, no American govt can pressure Israel too much, too openly without paying huge backlash from the unholy alliances which exists in America. So applying direct pressure to deliver aid via Israel will be a hard sell. But supplying via a Gaza port is legal, like the Turkish Flotilla tried about a decade ago. The Gaza port provides an internationally recognized route: Gaza is sovereign territory, Israel's blockage notwithstanding. Officially Americans even call the West Bank as 'occupied'. Those are legal positions held by the US govt and could be used as 'cover' in UNSC Resolutions.
Secondly, I don't see how, after feeding 1.5 to 2.2 million via the Gaza port, there would be a mass exodus of Gazans? Will there be large cruise ships taking the Gazans to prosperous countries? Who would accept them? Poor countries like Ghana might do if offered $$ but will the Palestinians leave in large numbers?
Thirdly, if there is a large concentration of Palestinians around the port for food, with American soldiers--up to 1000 of them nearby--I don't see Israel carpet bombing on the tents there. With American troops there, there will be even more spotlight on the conflict--something Israel is trying to avoid and any American casualties will cause more pressure on the US Govt to act in decisive way.
Having said all that, it is hard to say what's happening with the port. But I tend to think it is a welcome step and I wish it happens FAST! Palestinians need to eat to survive and fight another day.