That's why I've been playing Darius a bit more defensively when I choose him.
I.E, Don't go into lane (Or any fights, for that matter) thinking you're completely unstoppable, because when push comes to shove and you find yourself getting the short stick, you are FAR from unstoppable.
Yes, you have your advantages as a Darius, it's true. But when those advantages fail to win you the edge in a trade or when you're trying to deal with a gank (Because such things HAPPEN, that is a fact that cannot be denied) or some other factor is causing things to go wrong, you just have to hunker down and not be so gung-ho all the time.
Tl;DR, Darius is an overall balanced state, having his strengths and weaknesses, it's just a matter of letting your opponents take advantage of them, or as Darius himself says, "Expose every weakness" of theirs.