Quaterbacks and the Chicago Bears

Why do the Bears have such a hard time bringing in a good Quarterback?

I was watching an interview with Brian Griese before he started against Detroit. One of the things he said was that the offense had been a second class citizen in Chicago, and he hoped to change that. I think it's the primary problem, in Chicago the focus is too heavily on the defense, there is nothing inherently wrong with that.
But lets face facts although great defenses have won superbowls, those teams that go back over and over have great offenses, IMO asking your offense to play conservatively and just protect the ball is a recipe for 3rd and long, 3 and out and a tired defense loosing in the 4th quarter.
Ideally we want a great defense and a great offense, but I believe even if the Bears had all the talent in the world on offense, they would still play excessively conservatively and they would still loose games because of it.

Lets get a great offensive coordinator in Chicago, and let him run the offense, lets make offense a priority, I want to see the Bears protecting leads by scoring more points, not by "protecting the football" on a one score lead.

I don't mean Chicago needs to do this and ignore defense, just that both sides of the ball need to be equally important and that might mean compromises in defensive personnel.