Your assertions do not pass the laugh test. To agree with you I would have to believe that President Johnson was pressuring the Israelis to go easy on the Arabs. Johnson was delighted that the Israelis were winning so easily. So were most Americans. My high school was divided over the War in Vietnam. We all loved the way the Israeli Defense Force defeated and humiliated an Arab effort to continue the work of the Nazi Holocaust.Why bother? If you have your mind made up then nothing I will reference will change anything.
There is a lot of material available. Books like "The Attack on the Liberty: The Untold Story of Israel's Deadly 1967 Assault on a U.S. Spy Ship " by James Scott or "Assault on the Liberty, a True Story of the Israeli Attack on an American Intelligence Ship" by James Ennes.
By the way, James Ennes was an Lt Commander aboard the Liberty and his book goes into great detail to describe the attack and how the Israelis knew what they were doing and how the government covered it up, even threatening the crew members with prison if they said anything to contradict the lie.
Several other books if you are really interested. But I doubt you are.