I agree. whenever i have gone to another country to live or visit I've learned the language.
It's interesting what you say about Spanish speakers in Florida. In spain there are hundreds of thousands of people who are really enthusiastic about learning English !! I admire your grandmother. I once went to work in Sweden and, in the first two weeks, they took us all to a week long conference (in Swedish) about conflict psychology. Grrrr, it could have been really interesting.
Here in Spain I think the biggest problem like that is going to come with north african muslim speakers of Arabic, although there are plenty of English and German people here who make no effort at all to learn Spanish. Thinking about it, the exact same set-up you describe for Spanish speakers in Florida (own radio, tv, restaurants, chools etc..) we have here in Spain but with English people!!!)
We also have a lot of South American immigrants but they don't need to learn another language here
which also meand they are tolerated more by the 'natives'