I think that it will ultimately be more effective for Bitcoin generally if it is clearly known that some funding was made possible through Bitcoin, but actively pushing it is fairly low-key.
I disagree. You know what they say, "never waste a crisis." And right now we need to be more vocal than ever. Get people into the Bitcoin system. Besides, those people on Wall St. are going to be there for a while, hopefully. Like the OP said, a lot of people are coming and going to start occupations in their own cities. Wouldn't it be great if they went back to other states with the message of Bitcoin?
Let's get out there people! I've done petitioning before and you always want people to make a small investment in the system before they walk away, be it signing something or donating a dollar.
Why do you think you receive nickels in the mail? Statistically speaking, people are more likely to get involved if they feel they have received something of value. So giving out Bitcoins in return for a tweet is frigging genius!
I believe that a majority of people who one might run across at the protests are going to be focused on a lot of things, and many of them will have never heard of Bitcoin. It is unrealistic to expect that they are going to drop everything and focus on a fairly complex and confusing system. Trying to force them into it in the heat of battle is more likely to annoy them than anything else. Not to mention that a fair fraction of Bitcoin enthusiasts absolutely seethe with contempt for these people which I doubt will go undetected.
I continue to believe that it is both more practical and ultimately more effective to get the message across that has been and can continue to be a valuable tool in circumventing the power of the financial institutions. That will set the stage for a more thorough and exploration at a more opportune time. Especially if/when they go back to their cities and are setting things up.
And I am dubious at the value of handing out Bitcoin for tweets, especially in such low quantities. I think you are dreaming if you think that the tweeters are going to fuck around figuring out the in's and out's of Bitcoin for a few bucks. I believe that it makes a lot more sense for someone with the ability to do so to give them a cash payment. Might work somewhat to offer them a choice of Bitcoin in a slightly higher monetary value or USD.