I'm not sure if this rises to the level of a "huge dilemma" when we don't even compensate the "useful people" enough to live. As more jobs become redundant, the standards of the wealthy will become more extravagant, and require more bodies to fulfill. The difference in the income of owners will continue to drift farther from the income of workers.
Middle class people don't even have servants anymore, so we've got a long way to go before we have to worry about anything but an arbitrary number of unemployed decided through fiscal and monetary policy.
Try starting a business without any personal connections and watch it fail over and over again while customers keep telling you how much they like your product but you just can't compete with corporations financially.
If corporations were on a level playing field with everyone else and they did not have a financial advantage in terms of having front row access to cheap money printed by the Fed, or their business didn't revolve around constantly trying to destroy small business competitors, I would have agreed that it would not be such a huge dilemma.
Middle class people don't even have servants anymore, so we've got a long way to go before we have to worry about anything but an arbitrary number of unemployed decided through fiscal and monetary policy.