>funneled resources toward consumption (since rich people invest, poor people consume, and we've shifted resources from rich to poor) //
That's a natty turn of phrase but I'm calling bullshit.
Rich people invest with the excess financial wealth they have after they've consumed hugely more than a poor person.
Give me more money and I can afford to eat better (reduced healthcare burden), can repair my house (reducing total resources needed over the lifetime of the building; and again there are health implications). Give that money to someone rich and yes, they will invest - sucking more value away from the populous without producing more value - but they'll also do things like buying a private jet which consumes/pollutes hugely and wastes resources.
Perhaps some of the wealthy won't be able to have private islands and maintain their more liquid assets, for shame.
Why not cooperatives and micro-investment? Why does a rich capitalist have to be the investor and suck all the value from the system?