Being sinful does not prohibit us from choosing in a life or death circumstance. People drag themselves off to hospital everyday because they recognize that they are in need of a doctor. God wants us to recognize that we are sick and that we need a doctor, and that doctor is Christ. We are capable of recognizing this. God has made a way for us to understand this by having sinful man become involved in producing and circulating God’s word. Sinful men are part of the bible in every single way, and so the knowledge of God is trumpeted through sinful men. Free-will allows man to make the choice to believe or to stay agnostic. Sinful man is certainly capable of belief, and that is why God expects us to respond to the good news of the gospel. Not everyone will - but that is their choice. God judges us on the basis of these choices. We choose who to marry, who to teach us, who to respect, who to love, who to submit to, who to compromise with, what doctrines to believe, what bible to buy, what food we eat, what house we live in, what friends we cherish, and how we should repent. We are free to make many choices - as many as are available to us. Even then, sometimes we prefer others to make choices for us, but that still is our choice (in most instances).
Free-will is alive and well. It is not a myth, it is part of being human.
Steve