They will renounce nukes because we convince them that they will be safer and more prosperous if they do that than if they don't. This feat will take more than threats and insults. It will take skillful American diplomatic leadership.
Nuclear weapons are expensive to design, expensive to build, dangerous to own and fatal to use. That’s the reason most countries don’t try to make them. Iran is pursuing its nuclear program more in spite of America than for need. If we convinced them that any nuclear attack on Israel would be considered an attack by Iran against the U.S. they’d have serious reasons to invite inspectors in to prove their research was exclusively peaceful. (This was the strategy used by Kennedy to convince the Soviets to pull nukes from Cuba).