Obama held strong margins with Haitians, Puerto Ricans, Colombians, etc., while getting a big swing his way with Cubans thanks to the fact that the first Cuban wave (businessmen/professionals who left right after the Revolution) are literally dying off while younger Cubans are more Democratic-leaning. "Self-deportation" certainly cost Romney as well.
I don't if the "self-deportation" really cost Romney that bad in Miami-Dade since the Cubans that live there have been there for decades. Self-deportation did cost him Colorado and Nevada from being competitive than it was.
One thing the Republicans are gonna have to get used to is the Asians and the Cubans that are Generation Y members now didn't grow up under dictatorship's and are more liberal than their parents.