The first time I read this book, my reaction was pretty much shock (although I was also relieved because that allowed Montag to get away). I was shocked because it really seemed that Beatty was trying to get Montag to kill him.
As I read it more times and thought about it more, my reaction is that I feel sorry for Beatty. I think that he was clearly a miserable person and wanted to die. I think that he really agreed with the ideas that he found in the books that he read and he could not deal with the life he was leading, destroying these ideas.