If there is to much or to few light, everything is white - this is why the sun looks white and the same would be true for a red dwarf seen from very close by. But this is also the reason why it is difficult to see the color of the stars by naked eye: if there is to few light, they appear white. Therefore only the (apparently) brightest stars like Arcturus, Betelgeuse, Rigel, Capella or Canopus appear "colored" (red, red, blue, yellow, yellow, respectively) to us.
From interstellar space, but not from to far away, you would see the stars more or less in the color you see them in the mod.