Second of all, if you want high skilled workers to subsidize the unskilled, it's not necessary to disincentivize work. You could instead use guaranteed jobs - replace unemployment/welfare/etc with a job picking up trash by the roadside, cleaning the DMV, beautifying public spaces, etc. This is what FDR did.
Thus, low skill workers would no longer be faced with the choice of TV or flipping burgers. It would instead be DMV bathrooms vs flipping burgers.
To create even further incentive for work, you could stigmatize those with the guaranteed jobs. Instead of paying money, you could pay with in-kind benefits: rooms in a dormitory instead of housing vouchers, standardized cheapo clothing instead of money to purchase Modern Couture, cafeteria meals instead of McD's. Thus, even if your material standard of living doesn't go up from getting a job, your status does.