Respect and admire are often used together, but they are by no means the same!
You would have respect for a person in authority- like a policeman, a military officer with a rank above your own, or a teacher, but you may not like that person so you might not admire them. In fact, in these instances (and others), the respect is for the position (officer, teacher, etc) and not necessarily for the person at all.
It's hard for me to imagine a situation where one might admire someone without also respecting them, at least on some level.
