Which eye do you think is stronger.

Personally i believe that the sharingan is stronger.

• Great speed perception
• Unique jutsus
• Higher form(mangekyou)...even more jutsus
• copy techniques

The byakugan doesn't doesn't even have unique jutsus it just allows the user to see 360(almost) and see chakra.

It seems the sharingan is just the better doujutsu to use.