No, I did not mean the entire populations, just the ex-officials and possibly the slave-owners (which was often one and the same). Not the common soldier who was often fighting to protect his home state which had a greater claim to loyalty than the Union of those states, and continued to do so until the world wars and the Great Depression created a need for a stronger federal government.
Not even the Union soldiers were fighting for a strong federal government, but merely to preserve the union and avoid the disintegration of the states into a European hodgepodge of independent nations as existed at that time, and the problems that brings.
While such a relocation would not have created patriotic Unionists, it would have diminished the support for the southern institutions that led to succession - the plantation system, slavery, etc, and may have enabled new leadership to arise that was more willing to work with northern states. Leaving those ex-officials in place allowed them to recreate those systems (as much as the new laws and amendments would allow - thus Jim Crow laws and the sharecropper system instead of outright slavery) as soon as Reconstruction ended.