Even though you don't relate much to your father, you still have a "father within," a part of you that represents internalized aspects of your father's personality. It could be that this internal father complex is playing a greater role in your life now. I don't have a lot of specific associations other than that the dream is exploring the identity and role of your father and your father within. You are searching for him. He appears in the guise of an unfamiliar person, then later with two different halves of a face. He appears in the unnerving position of towering over you, suggesting a possible relationship to you of dominating, and later appears with an axe, suggesting a destructive role.

Mike