...nah, those 'No Left Turn' signs aren't there for the Virginians (well, _maybe_ they are for some folks down in lower-slower VA... )...
They're put there so drivers from New Jersey don't drive into oncoming traffic if/when they get a little over-zealous while enjoying their new-found freedoms (being able to turn left, pump their own gas, not having to stop every 3 miles for toll booths, etc etc etc...)