I agree with Dichrofisher, cut it cleanly - I used a fine coping saw blade slowly, take the remaining rod end to Joes and get a new tip top (couple dollars) that fits (presuming it is a little bigger round than the one that broke off), and glue on - hot melt glue, or polyurethane glue (gorilla glue). If you think the old tip top will fit, cut the wraps and heat with a lighter and it should come loose.
The guide spacing won't matter. I've been fishing with one like that for a few months, after breaking it for the second time. (the first time the manufacturer replaced the rod section for postage, but I am going to have to pay for the second tip section, and I am poor right now. Its a nice rod, so I will get a new section when I can)
Michael