Israel has the right to defend itself, and it will.
They are not “chilling” words. “death to America” and “death to Israel” are chilling words.
https://www.youtube.com/watch?v=QPQcdXQCsk0
Above is a 4 minute video of Nixon discussing the “madman theory” about power. He tells of Johnson telling him that the mistake Johnson made was telling the Soviets that we wanted peace, and were willing to pay almost any price to have it.
Goes on to talk about how the Soviets were “afraid” of Ike and Nixon.
I was trying to find another video where Nixon was talking about Israel, and how they had said they would do anything to defend their country. Nixon could not confirm or deny that they had nukes at that time (they probably did). But Nixon said something like as soon as you take one of your options off the table it is taken as a sign of weakness, and you should always leave all of your options open.