Said to be backwards, it's actually as seen from a point of view from outside our solar system. You can watch the stars come out as we clean the ceiling in sections with a simple solution of soap and water. This is so bizarre it's hard to know where to start. If stars were embedded in a giant transparent sphere a few billion kilometers in diameter, then you certainly could travel outside it, turn around, and see the constellations backwards. If you go just outside the solar system, the stars will look largely the same as they do here on Earth.
Stars are very far away, much farther away than any object in the solar system.
You would have to travel light years before seeing any change in star positions, and the solar system is tiny indeed on that scale. Look at the constellation of Orion, shown on the left as seen from the Earth. There are eight or so bright stars that make up the constellation, all of which are at different distances from us. The stars are different brightnesses intrinsically. Although much less luminous than Rigel, Saiph is five times closer, so it looks about as bright as Rigel.