Where is the need to spend 5.2 billion on public transit ? A few electric buses with point to point connections will do. Start small and expand as needed. Just one high density suburb <-> Downtown connection is sufficient to start with. Electric buses are so good, they have instant torque - so there is none of the lag that plague traditional diesel buses, they are fast, quiet and since it's point to point, your range anxiety is practically eliminated. A dedicated bus lane or the HOV lane and a stop every 1/2 ecits should cut it.

Sure it's not as fast as a dedicated subway or the Shinkansen but at a fraction of the cost, you are bringing in people to start using public transit.