Who wins in a fight if the user is equally matched in ability and use of their kekkie genkai. Obviously someone like madara or even Kakashi would own someone like Hinata. So take two gennin, two chuunin, two jounin, or two kage level shinobi which would win the fight between Sharingan and Byakugan.
I personally think a higher level ninja in the jounin and kage level the fight would be won by the sharingan user. They would trap the byakugan in a genjutsu right off the back.
A lower level ninja such as a gennin or even a chuunin the fight would go to the Byakugan user. If the sharingan user hasn't learned high level genjutsu, take sasuke during beginning of chuunin exams for example, I think the Byakugan user would use the close rang taijutsu and win.
What do you guys think.