I saw one local Virginia politician mention that his would be a "sanctuary City" for the 2nd Amendment. Um.
That has happened all over the cities and counties of western Virginia.
The difference is this. Counties and city of Virginia are the creatures of the Commonwealth. If they refuse to enforce the law of the Commonwealth, I do not think that it will take long for the authorities of the Commonwealth to stop funding for things like salaries of local officials or Commonwealth apparitions for things like roads and schools.
What I think will happen is that local officials will not openly declare they refuse to enforce laws they feel violate the constitution. They will just be extremely "incompetent" at enforcing them. This is called "Schweikism" after the novel
The Good Soldier Schweik. Local cops and Commonwealth's Attorneys will just not be very good at looking for and then prosecuting violators.
This is an old American tradition. In the late colonial period, royal officials had a deuce of a time enforcing unpopular importation laws. Smuggling was rampant. In the late 1850s, Illinois Senator Stephen Douglas announced that slavery laws could not be enforced in a territory (or state) in which they were not popular. In a practical sense, this is correct, even if constitutionally dubious.