If they don't want the citizenship, more than they don't want to be separated from their wife & children, then they can simply move back to their home country.
That does make it a very hard choice for their wife. Either move away with him, or remain & choose how they want to proceed with raising a family. Essentially as a single mother, or marry another man to help raise good children.
If they really don't want American citizenship, these are the results.
If they don't want the citizenship, more than they don't want to be separated from their wife & children, then they can simply move back to their home country.
That does make it a very hard choice for their wife. Either move away with him, or remain & choose how they want to proceed with raising a family. Essentially as a single mother, or marry another man to help raise good children.
If they really don't want American citizenship, these are the results.