I had the same idea but these are the only problems I see with it.
You will live 4 years of your young life in a strict and very tight day to day schedule.
speaking from my situation, id have to quit my high ranking position at my job, along with missing out opportunities of my career (tournament paintball)
but if its something you really want to commit to, then go for it. the military will teach you much about how you keep your life organized and ready for any situation that life throws at you.