No, we should not 'nuke' Iran and North Korea. It is a hypocrisy to demand disarmament from other countries while building up our nuclear arsenal.
Our long standing rivals have friends, powerful friends. We have friends too, but their friends have just as many weapons as we do, and they are way more powerful.
What we need to do is try and get along with everyone. Don't act like a bully, don't make fun of anyone, don't threaten anyone, and don't strong arm anyone with economic sanctions and tariffs.
Oh by the way, did you know Russia has a nuclear missile called Satan 2 which can carry up to 15 separate nuclear warheads. It can take out a country the size of France. Russia is 40 years ahead of us in missile technology. We are not the **** after all.