We need to stop believing that ethics in business are the same as ethics in your personal life. Executives do not treat it that way – neither should you.
If you are getting interviews but never call-backs, it might be because you are telling the truth, and everyone else is lying. If you are lying because you are afraid of getting caught, there are ways around the background check. But if you are lying because you think it's moral – this article shows evidence of how often recruiters lie during interviews, and why it's perfectly acceptable (even expected) for you to do the same. Look out for your own self-interest people, and stop worrying about what people say is “moral”.