There's a famous Chinese fable:
Once a man wanted to go to the south, but his carriage was heading north. A passer-by asked him: "If you are going to south, why is your chariot heading north？"The man answered, "My horse is good at running, my driver is highly skilled at driving a carriage, and I have enough money." The man didin’t consider that the direction might be wrong; the better his conditions were, the further he was away from his destination.
So by and by it comes to the Chinese phrase "Destination at South, heading to North", what would be a comparable English phrase for that?