Your cited verse does not support your assumption, and Mormonism, which is the only significant sect of Christianity that does, is not representative of the majority of that religion. So now your usual focus on a Christian audience has become even smaller.
You have redefined "evil" to suit your argument. Evolution includes environmental factors that cannot be implied to posses any intent, no matter how ridiculously far you stretch the meaning of "evil". So survival is not necessarily evil.
But yes, evil, as you define it or not, must exist. Evil is relative. This means that removing one thing considered evil would necessitate defining something else as evil (much as you seem to have already done). By comparison, anything less than orgasmic ecstasy would eventually be evil. Hence, all becomes extremely homogeneous, which leads in the direction of nothing but a god, with not other existence possible.
