A long while ago when I was in college we attempted to implement a less complicated version of this system for allocating budgets to student organizations and it was nothing short of a shit show. I'm not confident in the voting public's ability to understand the process.
"Quadratic voting was invented not by political scientists but by economists and others..."
Not much of a point here, this is clearly within the domain of economics.
It worked with 41 lawmakers, it seems like an interesting voting method for small scale. Can it scale up?