The United States Intelligence Complex will never ever let that happen, instead we will give them an option to have our own nuclear warheads which can be equipped to a US operated aircraft on their soil just like it is in the Netherlands. The most important thing is the the Polish Government cannot independently target using a nuclear warhead the targeting and the decision to launch should always be made by the US(i.e. A US 4 star general just like how it is in NATO)
How would they prevent it? Using military force? Because if it becomes an existential question, the drive to achieve it will be very high. Also, the intelligence complex has failed to stop countries like North Korea, so I don't think they are allmighty in choosing who can get it or not. The status quo is a consensus. We will see what happens when allies to the US sense the relationship has fundamentally changed.
