I don't think active management makes sense for the majority of folks, but billionaires are exactly the kind of people that it does make sense for. With a billion or two you can probably get yourself into some pretty good closed-end funds (if you're savvy about it) that will probably deliver better risk adjusted returns than vanilla passive.
Personally, if I had the money, I would go with 2 Sigma or AQR. Both of their past returns streams are stellar and uncorrelated with the markets.