Well, the education and how useful it is differ a lot depending on where you are from. I've got a masters in classical history from the University of Lund (Sweden) but I still need to get another masters in languages (modern and ancient) to be considered for a PhD which is tremendously difficult to get here.
I've heard though that it is far easier to get a PhD in the states, leading to too many PhD's compared to how much work there is.
To be honest, I love classical history and I will do what is necessary to work with it but I am well aware that it might fail, and even if I succeed it'll lead to a life where I will be forced to move around and most likely never stay in one place for more than a few years. I will also require that I study for 10 years and work more or less for free during that time on digs and articles.
It's a though life but if you are willing to do what is needed, then I believe that you should try it.