Yes. They would not even know. Few states have the means to detect atmospheric and underground nuclear tests. Do I believe in Uncle Sam's honesty? No! Most Americans don't believe in the honesty of their government.
How did dialogue with the IRA work out for England? I was around when bomb warnings were received in my town every other week and I lived in a small town. Peeves me off a bit that the IRA mp's receive a parliamentary salary without ever required to attend parliament yet they claim all the expenses for traveling to London to attend parliament = nice paid for holiday.