Yes they have. Today, some are even "Snowbirds" between the two countries!
"...There are tens of thousands here illegally..."
From Plymouth, Massachusetts to Monroe County, Florida.
Not necessarily wonderful, either: some are originally "Ton-Ton-Machoute", and prey on (and torture) Haitians in the U.S.
"...Haitians speak english.."
1) Miami-Dade County has an ordinance that all businesses must provide translations into Spanish and "Creole". Sort-of-French, with much use of the letter "K" ("K" goes largely unused in Spanish).
2) Even those Haitians employed by Monroe County can't be understood in English.
:-/
3) Announcements in Miami Department stores are made in Spanish. (China—followed by India—is shortly to become the largest English-speaking country!)
==8-O
I am not saying that illegal immigration from Haiti or anywhere else is a good thing. I am saying that it is incorrect to state that Haiti and Haitians HATE America and Americans.
And to suggest that the Dominican Republic is some sort of paradise is ridiculous. There are thousand and thousands of Dominicans here illegally. Living in squalor in NYC and no doubt other big cities. If their home country was paradise they wouldn’t be here.