Definitely (agreeing with Oniya). Especially if you say, just moved to a country like America. In all likelihood you'll probably return home and having dual citizenship is helpful...not only that, but often, you have family overseas. I'm a third-generation American (my grand-parents moved here respectively from England and Germany) and I still visit them overseas. So, no. I'm not going to forget my ties to the other countries where a large portion of my family still lives.
Anyways, back to the revolution at hand...
I think that the surpression we've seen on the news (shooting of protesters, etc) is atrocious. We'll see were it goes, but America is definitely in a tough situation since we overthrew their first democratically-elected ruler to put the Shah (if this is spelled wrong, I apologize) back on the throne. Now, we're doing our best not to step on any toes and be seen as 'meddling' by supporting the protesters since Obama still wants to open talks with whoever ends up being the leader of Iran.
It's definitely interesting to watch, and history is being made. As of yet, this is the first time that people have actually spoken out against their leader, who is seen to be the highest authority on earth. From what I've gathered from BBC, of course, so I may be wrong.
Also, it's interesting to watch the crucial role that the internet is playing. Since foreign reporters aren't allowed on the streets in Iran, all of the video is coming from clips that have been taken on phones and posted to sites like Facebook, etc. Technology is a powerful tool. :)