The distances between the planets and the Sun are very much smaller than the distances between the stars and our Sun. For example, the average distance between Pluto and the Sun is 39.44 astronomical unit.
Astronomical unit is the mean distance between the Earth and the Sun.
One light year is equivalent to 63,236 astronomical units. In view of the fact that stars are very far away from the Solar System, constellations would look the same as we see them on Earth.