If you don't already know, the Sharingan is a branch off of the Byakkugan, which means it is most likely inferior in most aspects to the original. However, the Sharingan has its major advantages which people like to use, such as perfectly copying ones hand writing, ones movements, and also being able to see 1 second in the future, right before something happens.
Byakkugan on the other hand allows you near perfect vision all around and the ability to release chakra in any part of your body. Even though none of us actually have "chakra", it would be awesome to be able to have some kind of force surrounding you.
Lastly, it takes up your chakra to keep these in effect, so I really doubt people will walk around keeping their eyes activated...
But I would choose the sharingan. Forging ftw!