I think ultimately, none of us know how the coaching staff feels about Kilgore at this point. He came in as a very raw offensive guard out of Appalachian State, he had some technique issues, need to improve his overall awareness but by all accounts, he had a very solid base to build from and has had plenty of time to sit back and learn. Only the coaching staff truly knows if he "gets it" or not. By this point it should be very clear and if he does, then I doubt center is much of a priority at all other than someone in the later rounds to have as depth.
The one thing that was constantly written about Kilgore is that the guy is tough as nails, a real hard-ass, mean, chip on the shoulder, I'd love to see him come in and do well and knock some people around.
This is from his ESPN draft profile:
"Mauler that blocks through the whistle and can block more than one defender on one play. Plays with a chip on his shoulder and can get under defenders' skin. Didn't back down from challenge of playing at Florida senior year. Plays with the same intensity regardless of the score."