I think the topic is interesting in that if Total Depravity is true then there is no desire for God unless God calls. Which means God does not call everyone.
First of all, total depravity does not mean that men cannot make choices. It says that their choices will only be consistent with the nature of fallen man which, we have seen from God's word, is fallen, a slave of sin, full of evil, is incapable of understanding spiritual things, and does not seek for God.