We should see this as all the celestial bodies traveling "down" at relativistic speeds by now. Unless maybe they are also experiencing 1 G in the same direction as us in addition to whatever other accelerations.
I imagine whatever magical force has been constantly accelerating the disc Earth for 4,000+ years also magically accelerates everything else uniformly in the exact same direction, at the exact same speed, and also magically solves every other hole in the theory.
