The more I think about this issue, the more it seems that the government could be setting themselves up for big social problems and unrest. We already saw the other day the video of a bus load of Haitians physically fighting back against the immigration agents, and the process of "arrest them, take them away, extort them, release them, rinse and repeat" is a recipe for disaster. Few Haitians have the sort of money being demanded readily available so they have to obtain it however they can. In most cases they borrow it, then how can they repay it if they can't work? If people have debts, yet can't earn the money to feed themselves or their families, they will resort to getting hold of the money any way they can, which could involve an increase in crime. Isn't it better to have the good, hard working Haitians working rather than have them resort to desperate means?
I know of just one person who has done what the government wants and voluntarily returned to Haiti because he couldn't continue to work as a moto-concho driver on the north coast. However, he left behind a family of several children and I have no idea how they will survive. Now you can say with justification that he shouldn't be having children in a country where he is not legally resident and I would agree, but there is no denying the existence of those children and the problem that has been left behind.
I know there are some people on this site who don't even admit that the problem exists, but I don't think they can have any dealings with the people at the bottom of the food chain.