Ignorance is something we can 'fix'. All we need to do is know more stuff. Why, then, would God need to be attributed to something we, as humans, can fix by ourselves?
God represents nothing in terms of ignorance. There is a difference between ignorance and 'not knowing'.
Ignorance implies that you could know, but you just don't have all the necessary equipment, data, or drive to find out what it is you don't know.
'Not knowing' implies that you can never know. It is impossible to know what you are trying to know. No matter how hard you try to figure it out, it will always elude you. It doesn't matter what you do, the harder you try, the further away you get from it. 'Not knowing' does not spawn from ignorance, but an inability to know the unknowable.
Socrates said 'a wise man knows that he knows not'. I've seen many people use this to be ignorance, rather than 'not knowing'. I believe there is a much more powerful lesson to be learned in 'not knowing' than ignorance.
Like I said, ignorance can be solved by reading a textbook, doing some research, or asking a few questions.
'Not knowing' can't be solved. 'Not knowing' just is.