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.