But this provides a host of problems- even if the immediate observable world didn't change from our perspective.
The most obvious would be anything in space without the exact same speed, direction and acceleration of earth, which happens to be in our path, smacking into us. Surely if you believe in any bodies other than our world in space, this would have to happen sooner or later. And considering grains of dust could have considerable energy at such high speeds, it is likely an asteroid would destroy the world.
Another problem could be a blue-shift effect of any radiation entering the the world from space- although since FET assumes the stars are 3000 miles or so above us and move at the same velocity as us, that wouldn't be a problem. But it would in near-light speed with a conventional model.