Alternatively, you could purchase a cheap chain saw, like a Poulan, cut up the tree for firewood, cut up the part that's on your neighbor's property (have him help you), enjoy a few beers, and put an ad on Craigslist for firewood, recouping the expense of your new tool.
But, alas, you'll probably sit inside the house, with the apron still tied around your waist from doing the dishes, sipping on a glass of white zinfandel, watching the workmen who you hired to cut up the tree for you; oblivious to the fact that as your wife is sipping on her glass of white zinfandel while also watching the work crew, she'll be secretly thinking, "I wish I had such a manly man."
edit: is your wife hot? I have a couple of chain saws & can come over if you live close enough. Pics?