The United States and Israel have signed multiple bilateral defense cooperation agreements, to include: a Mutual Defense Assistance Agreement (1952); a General Security of Information Agreement (1982); a Mutual Logistics Support Agreement (1991); and a Status of Forces Agreement (1994)
And the law establishing any country as a "non-NATO ally" involves military cooperation and the sale of arms, not mutual defense obligations.
There are more than a dozen countries in the world that have this kind of arrangement with the U.S. Almost half of them are Islamic countries.