Since Gilgamesh is 2/3 god, and 1/3 man how might this combination affect him as a leader?

Gilgamesh is more god than human, which causes him to be and act larger than life. He's overbearing and tyranical; he abuses his people, but he is also brutal and selfish. The women in his kingdom are merely there to satisfy his appetites, and he expects everyone to worship at his feet. His actions cause his people to pray to the gods for help, to find him a woman who can both satisfy him and serve as his equal. This effects his leadership because his people don't like him. It's all well and good to give your loyalty to someone who frightens you, when that fear is accompanied by respect. But they don't respect him either.