I lived in the Dominican Republic for a few years, and it was a little weird to me at first, but after a while you get used to putting dirty paper in the trash. I never once had to deal with a clogged toilet.
After moving back to the USA it was just as weird to put paper in the toilets (though drinking the same water you bathe in was the weirdest part).
I think people exaggerate the weirdness and difficulty of adjustment, because in both instances it took me a week at most to get used to either way.