It seems that Professor White may have developed his argument based on possibly incorrect premises.
One is the concept of illusion by US allies. Are those countries really that low intelligence?
The second is the logic that some of the US allies will develop nuclear weapons should the US do a no first use (NFU).
I would question the soundness of both.
A nuclear weapon free world is a much higher goal for all human beings than the possible use of such weapons by a hegemonic sole superpower!