We are all born with a conscience. So people, regardless of their upbringing, can naturally discern what is good and evil. So, no, the entitled statement is not incorrect.
You misunderstand the point of religion.
What the entitled statement implies, though, is that religion is obsolete, as if its primary is to educate on matters of moral semantics. This is, by a gross degree, far from the truth. From my Christian perspective, the objective of the Christian religion is necessarily to make sure we tread on a straight, moral line. That's part of it. But it's so much more about the joy of relating and interacting with a living God, and the exchange of supplication with sanctification. The metamorphosis from a woefully dead sinner to a living child of God. It's not about making "bad people good", it's about making "dead people alive" as Ravi Zacharias put it.
You also lack the answer to the ontological question.
More important than the epistemological question, the one already answered in point one, is the ontological question. The question that begs answering is why the conscious tells us rape is wrong as opposed to right. Regardless of the corners you cut or the philosophical buzzwords you employ, your answer will always be religious.