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First of all, the Church's beliefs are based BOTH on Scripture AND Tradition--there are some things which were practiced, or orally transmitted, which were not written down.

That's nice but your tradition clearly violates scripture. Jesus did not have any nice things to say about the Pharisees of his day who claimed that they were privy to tradition taught by Moses and handed down to them orally. He clearly said that their traditions were man-made and that it was wrong to place man-made traditions above scripture.
Another word for scripture is canon, which means measuring rod. We need to measure our traditions as to whether they comport with scripture. Do your research and you'll find that this is what most of the early fathers taught.
The parallels between the Jews piling man-made traditions on scripture and the church (not just Catholics) is enough to take your breath away. I suggest Alfred Edersheim's massive tome The Life and Times of Jesus the Messiah.
Finally, if we pretend that enforced priestly celibacy somehow doesn't violate scripture, then why was it not practiced by the early church?

The canon refers to the Scriptures that were read in the Churches. The ordinary Christian seldom knew more scripture than he heard in Church. The Bible as we know it, a small, single bound volume, was not available even in Latin until the 13th Century. So how could this be the rule by which a Christian could determine which doctrine was correct?