I do not think it is true that Israel will not "trust" the US A again.

Instead, Israel will be more reluctant to share some forms of time sensitive information on military operations. One of the challenges is the US is a multi-culturally diverse nation comprised of people from all over the world. This leads to many people having divided loyalties.

Our news is flooded with media stories from "unnamed sources" close to "fill in the blank" revealing information and sometimes fake information. So, "leaks" are part of how America operates.