Although Biblical Creationism tends to only span the first 11 chapters of Genesis, the entire Creation debate hinges on the latter end of the Bible. The debate literally stands or falls on the resurrection of Jesus Christ.
If there was no resurrection, Genesis is useless. The Old Testament, in and of itself is very powerful, so this would not have been the case 2,000 years ago. As long as God maintained His perfect record of fulfilling His promises, He would maintain the right to be believed on faith as well. But the instant God shows Himself to err, our confidence in Him legitimately drops.
Daniel 9:24–27 clearly tells us that the promised Messiah would arrive before the destruction of the second temple, meaning since the temple was destroyed, either Jesus, as the only person to meet all the criteria, is the Messsiah, or there is no Messiah. God promised the Messiah, even to the point of giving a specific time of His arrival, and so a failure of that Messiah to arrive would inevitably be a failure on God's part. But if God is not infallible, why would we care about the creation account? We dismiss religions on their failures where they claim infallibility all the time, and God Himself said that if someone speaks and what they say does not come to pass, they're a false prophet.
But if there was a resurrection, that means a lot. If nothing else, it tells us Jesus knew a significant amount about creation as a whole. No scientist in all of history has ever been capable of raising the dead, particularly not when they, themselves, have died. Everyone who has ever died has remained dead, and yet this one man stood up and walked out of His tomb, almost as if nothing had happened.
This same man claimed repeatedly to actually be the Creator, as well as authoritatively asserting the truth of His previously written works. Jesus specifically affirmed the authority of Genesis, using it as a source of the doctrine of marriage. In Matthew 19 and Mark 10, we read about Jesus being questioned on divorce, and He effectively says "don't you read Genesis?" before quoting Genesis, affirming that God created Adam and Eve in the beginning, just like Genesis says.
Jesus, being God, has a rather large advantage over man. He knows the creation inside and out, He has full authority over all of it, He was actually there when creation was made, and it was actually He who made it (John 1:3; Colossians 1:16). By contrast, even the world's greatest scientists have a very limited knowledge on creation, have no authority over it (beyond that which was given to man in general via the Dominion Mandate), no scientist was there in the beginning, and obviously no scientist created the heavens and the earth.
Thus, by the fact Jesus rose from the grave, He earned far more faith from any generation than any scientist ever has. Imagine two people standing before you, one of them having literally risen from the dead, the other holding a fossil that sort of looks like another fossil, and you say "sorry Jesus, I know you're literally God incarnate, but we found this fish..." If you are literally willing to dismiss the word of a man who beat death in favor of the word of men who look at the dead they will one day join, there's not a lot that can be said to you. You are a fool.
But the origins debate isn't the only thing that stands or falls on the resurrection. Through His death and resurrection, Jesus bought us the right to become children of God, and all it takes is a confession of faith. That's more important than the origins issue ever was.