The guest drop off point is under the parking garage, across the street from valet parking. It doesn't look that far away from the pedestrian entrance, which is how I went. I didn't time myself, but there is no way it took more than 10 minutes, probably closer to 5.
People make fun of how fast I walk though, so if you are going with small children or someone who walks slowly, it might take a little longer.
Are you buying pre-printed tickets? Or do you have to pick them up at the will call office? You can save yourself some time if you can get the tickets early, then you will not have to wait in line to pick them up and can go straight into the park.