Imperfect perfection? Or another corny paradox.

In missions training we've been flying in a pastor from out of state to speak to us and help train us and prep us for the field (I'm going to Japan to teach English, among other things). The general topic was church history and such, but towards the end he made a point that really interested me. It went something along the lines of this:

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Why do you think that God always seems to use broken, messed up people to do His work? A lot of times, through history, we see pretty sinful people do amazing things for God. This seems to be a question that comes up a lot; a lot of people say that it's so that all of the glory goes to God, because there's no way we could do such great things on our own. God's power is shown through our weaknesses. Maybe it's to humble believers who are used, to remind us that it is not us doing the work, but God. It could be for those, and it could be for a lot of other things, maybe each one particular to each case.
But maybe there's something about these flaws that helps bring perfection. Look at Jesus; He was the perfect example of someone who day in and day out followed God's will, obeyed his calling, and laid his life down for his brothers and sisters (us). But after the resurrection, He still had scars on his hands; a flaw, an imperfection. He could have easily gotten rid of them, I'm sure. I mean, he rose from the dead, probably could walk through walls (to get out of the tomb), performed countless miracles (many of them healing), but himself was left with scars in his wrists from being crucified. Maybe there's something perfect, something really great, about being flawed. Maybe perfection itself is being flawed. Maybe. I don't know, just some food for thought.

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And I guess, it is just food for thought. I feel like a lot of things in the Bible leave you asking questions, but God provides us enough to understand that He is much bigger than us, infinitely absolute, and that He loves us. But stuff like this makes me wonder. And I'll just have to tack it on to the list of things that I'll be reaching towards, for most likely the rest of my life.