I believe that the monorail in vegas is considered private. The evergoing debate that private entities should build mass transit has, unfortunatly, far too many holes for a private organization to build one. Some have tried, such as in a shopping center in suburban Dallas, and they ultimatly were doomed. The problem lies in the fact that even if it can be profitable the margins are so razor thin that the return on investment would be a very long time. In Vegas the monorail does have troubles, however, the intangible benefits of moving the people from one casino to another is a BIG factor in their system - and rightly so.
What it generally comes down to is a massive investment by the local, state, and federal government to get the system off of the ground, and then usually (but not always) an on-going tax of some sort to help subsidize the system so that it is affordable. Private companies have to charge a fair amount to make it proffitable, usually anyway. Look again at Vegas, the monorail costs $5 for one ride or $40 for a three day pass. No transit system that is aiming at becoming a alternative could charge those prices. Hardly anyone would pay $10 just to get to and from work by rail/monorail. In comparison I can ride the Metrorail in Miami for the entire 22 mile length for $1.50 (or $3 to and from work) AND transfer to the Metromover (peoplemover system) in Down Town to ride it's 4 mile length (the same lenght as the LV monorail) for free -actually, all Metromover rides are free wheather you transfer or not. Further, a monthly pass for metrobus, metrorial, and metromover is only $76 ($36 for students).
I am a HUGE advocate of rail transit in Florida, I canonly hope - and look forward to - a time when all of our metro areas have real transportation alternatives!
Off of my soap box.....
Steve