I'm not sure if you're serious, but I agree that random would be a better approach. For example, the page could generate 10 random logos, then you choose the one you prefer. Then, it generates 10 random logos based on that one, and repeat. This way, you literally just click three times, and you decided on the best logo for you out of 1,000 randomly generated ones.

Right now it's kind of clunky, and it takes a little while just to setup one concept. I think the target audience is looking for instant here, not a lot of customization.