Sorry, but we can look at all of the over-achieving low payroll teams and find something they do different than everyone else. Prior to the Brewers (regular season) success, no one was able to copy the Rays (regular season) success and prior to that, no one was able to copy the Twins and the A's (regular season) success. The actual path is vague and can come from many avenues. A low payroll franchise has (regular season) success, which builds confidence and keeps the franchise floating on top for several years because confidence and learning how to use it breeds more wins. There's tons of ways teams can build that confidence and keep it rolling.
However, NOT developing your own homegrown talent is an incredibly inefficient way to build a team. This is most definitely not a path the Twins nor any other low payroll team should try to emulate.