Should Creationism be Taught Along Side Darwinism?

Many people have debated for some time that the religious ideas of Creationism should be taught alongside the scientific ideas of Darwinism in school. Personally, I feel that this idea is completely wrong. This country was created with the idea that there would be separation of church and state. If we apply religious ideas, mind you of only one religion, into school teachings, then we are completely ignoring the separation of religion from state. And if we're going to apply Christianity into school, why shouldn't we be putting in the ideas of Hinduism (who believe in evolution), Islam, Judaism, or Scientology (I hope not).

What's more, one could say that the ideas of Atheism should be put into school teachings. Some might argue that Atheists already believe in evolution, but I have never heard that evolution is a direct belief of Atheists. They claim that there is no God, but they do not claim to follow Darwinism. If we can teach religious ideas in school, then we should be allowed to teach scientific ideas in church. A lot of the ideas of both are completely conflicting, and I don't believe that we can push religious ideas onto impressionable kids and teenagers. Science is a part of what we study, along with math, english, and history, among other things. The teachers don't claim that science is right, but that it is one of the main theories held to be true. Although some people think teaching science in school is unfair when not presenting religious ideas, I think that scientific studies are made of fact and the ideas of something that uses logic and can be proved should be taught in school. The ideas made up by some men who decided to get rich of a book that people would hold so holy, they would kill others for it, do not prove anything. Religion can poke holes in science but science can always find new ideas to be scientifically and physically proved. With religion, one can poke holes and the head of the church will come up with new ideas, but those can never be proved. So who are we to trust? The side that has physical evidence through years and years of observation, study, tests, and proven results, or the side that claims radical miracles and yet has no proof that has ever been tested and proved positive? I choose the former.