Excluding Makengo, which is stronger out of the two? Byakugun or Sharingun?
I pick Byakugun because in some episode/chapter of naruto, while hinata versed neji in the chuunin exams, kakashi was talking about the two differences and simularitys between them both, and he said that Sharingun was made from Byakugun.
Well since makengo is exclude, then that means the sharingan users don't lose their sight. Sharingan can copy other people's jutsus, see through clones, see through genjustus, and then they can practically read your every move.
Byakugan just allows you to see charkra points, use the gentle fist techniques, near 360 degrees of vision, and see farther.