John Kennedy actually said...

"This Treaty does not halt American nuclear progress."

"The risks in clandestine violations under this Treaty are far smaller than the risks in unlimited testing."

"This Treaty advances, though it does not assure, world peace; and it will inhibit, though it does not prohibit, the nuclear arms race."

"This Treaty is not a substitute for, and does not diminish the need for, continued Western and American military strength to meet all contingencies."