I'm not sure how we could move Cuban-Americans somewhere else unless you are suggesting forced relocations to other parts of the U.S.
Levis wants to sell them jeans. Apple wants to sell them phones. GM wants to sell them truck. Raytheon wants to sell them radar systems. There's just so much money to be made when a formerly isolated market become unlocked that I think you could win back Florida and more with all the donations from the big corporations that would stand to benefit from normalized relations with Cuba.
I think the only reason nothing happens is because there's no one sector that really stands to benefit and can make a concentrated lobbying effort whereas the people that don't want it are a unified ethnic group which for the purposes of high level political analysis can roughly be seen as a voting block.
Ditto all this for Iran, but move all the decimals to the right once or twice.
(11.3M people, per capita GDP $9,500 or so.)
US Presidential politics has been on a knife edge for the past 2+ decades, with multiple popular-vote-minority presidents elected (or appointed, according to some, notably Bush-Gore 2000).
There are a handful of swing states, with Ohio and Florida topping the list via Google Ngram Viewer. The term "swing state of " starts appearing notably around 1995, and has been persistent since the 2000 election.
<https://books.google.com/ngrams/graph?content=swing+state+of...>
(Ohio, Florida, Pennsylvania, New , Illinois, and Virginia make the top six over that period. "New" seems likely to be "New York", though it could be the combined effect of "New York" and "New Jersey".)
And again, Cuban politics and policy is absolutely pivotal in Florida.