"Many of those who believe the Liberty was purposely attacked have suggested that the Israelis feared the ship might intercept communications revealing its plans to widen the war, which the U.S. opposed. But no one has ever produced any solid evidence to support that theory, and the Israelis dismiss it. The NSA's deputy director, Louis Tordella, speculated in a recently declassified memo that the attack "might have been ordered by some senior commander on the Sinai Peninsula who wrongly suspected that the LIBERTY was monitoring his activities." - per Tom's cited reference

Moshe would have been contacted first and approved of the strike and Golda would have told him the call was his to make. To weigh and judge this probability behooves one to speculate on what our Government would have done with the Intel on Israel's intentions of expanding the fight. The logical conclusion to the speculation in the above quote is that Israel weighed X number of potential American KIAs from the USS Liberty strike against their own potential KIAs based on an assumption that America would have sacrificed Israeli lives to prevent the war's expansion. That is the heart of the matter that will never see the light of day, never.