Enlightenment = understanding universal system philosophy
Knowledge of God = being on good terms with the root user

Indeed, I agree with kevitivity. There is no god. Think for yourself, don't blindly regurgitate stories passed down for hundreds of years by people who were clearly on drugs and under oppression before finally being transcribed when mankind collectively became smart enough to learn to read and write.

There is no God. Free your mind. Now that's what I call enlightenment.

If god existed she would be quite capable of showing herself clearly, to everyone, instead of hiding behind luck and superstition and wishful thinking. Omnipotent? Hardly. Can't even get a single clear message across.

First, I think that this answer can only be given in the context of the answer'ers personal beliefs. That being said, I would call enlightenment and the knowledge of God basically the same thing. I would probably use the terms basically interchangeably.

I'm going to focus primarily on the "Do we seek after God, or does God seek after us" portion of the question.

Do we seek after God?
Of course! Every seminary student and young person who goes off to a Bible school or follows a guru of some sort or anther is seeking. I would posit that all of us are born with a certain internal desire to seek out a greater explanation. Many people choose to fill this internal desire with religion, they believe that an understanding of God, or becoming Enlightened. Some people choose to fill their lives with anther purpose: work, charity, or children, but one thing is for sure is that we all seek something.

Does God seek us out?
Yes. There are too many instances that people have stated that have driven them to God for me to believe that God is not actively playing a part in seeking us out. EX: A pastor I once worked under used to do street ministering, and spoke one night with a young woman who was very resistant to hearing about God. He left her with his business card and the final words that "God will be there for you whenever you call out to him." Several years later the pastor got a phone call from the same young woman. She said that she had fallen in love, gotten pregnant and moved in with her boyfriend. Her boyfriend had become abusive over time and one day she had finally decided to leave him when he came home and found her in the middle of packing up. He was in the process of beating her worse than he had ever beaten her before and she screamed "God save me!". She didn't notice at first because she was curled up in the fetal position but when she looked up he was gone. She talked to him on the phone and he said the reason he ran out is that when she screamed that he felt the presence of some guy that would've hurt him had he stayed.

I think that was God seeking her out.

Enlightenment has never really been well-defined. Apparently only those who have already been enlightened can understand it.

Knowledge of God has been very well-defined, although we are too limited in our beings to have full knowledge. But the most important parts, love, faith and hope, are simple enough that children are better at them than most adults.

I'm agnostic and while I tend to not believe there is a God as so many religions would have us believe, I maintain hope that there is something greater which is at least responsible for creating all things.

Whatever that may be, I think it's pretty clear from lots of empirical evidence around us that if God does exist, It basically performed the acts of creation in a "fire and forget" manner. If God were a kid with a handful of poker chips, creation was releasing those chips onto the bumpy road of existence and letting them fall where they may. All the great suffering that even stellar human beings may endure, all the good people who are trampled on by evil or by happenstance, it really challenges the notion of a loving God taking care of its flock of sheep. Rather, it seems more frequently that God has placed Its flock in the middle of a major urban city, and the doors to the slaughterhouse have been left open with tempting sheep treats just inside.

I think it's noble to have faith in something greater than ourselves, but at the same time I think it's foolish to make many assumptions about the nature of that thing, since first of all it may, indeed, not exist, and secondly, how are we, as such relatively puny creatures, to claim we know the intentions of such a vast thing as many believe in and call God?

Enlightenment for some is knowing there is no "you" compared to the outside world. Putting faith beyond yourself or the world and into a higher power can be considered knowing God. I suppose both our Gods and our existence calls out. How we heed the call is up to us.