So you get to pick which denominations are acceptable and which are not? Is that your idea of religious freedom? If your "scientific" theory says that the Bible is mythology and you force that as the official government position then you have just ended religious freedom -- that's not a neutral position.
"Science" cannot give evidence on the claims of the supernatural either pro or con. By definition the supernatural, being outside the ability to observe, can't be studied. Anyone claiming that science has "proved" the existence, or non-existed of God is out of bounds.
However science can evaluate claims such as a worldwide flood and demonstrate its falsity.