When God's anger is described, I've most often heard it called "righteous anger." I think because (as Christians believe) God is love, and perfect, his anger is considered justified and directed accordingly, at those who truly deserve it.
To compare your father's anger to God's anger is probably not the best comparison, as that would be synonomous with comparing your father to God. It is a logical parallel, but give God more credit. He's not human. And most believe that the average human need not fear, God's wrath is not seeking to destroy those who deserve unconditional love and grace, which He extends more often than His anger.