Having worked with a wide variety of formats for broadcast or online, we would definitely love seeing Twitter Polls appear in one of the APIs. Although I'm a fan of the Streaming API, I guess the REST API is the most logical one to start with.
This would be my wish list:
* Create Poll by PUTting: Question, 1..N alternatives (each with a possible image attached to it perhaps?), start date, end date, max number of votes per user
* Read Poll by GETting: same parameters as PUT, plus Poll state, number of votes per alternative
Obviously these parameters should be in separate fields, not encapsulated in the text.
* Perhaps Operate Poll by PUTting: reference to existing Poll and new parameters, e.g., to Pause a Poll temporarily or to End it before its scheduled end date, or to add an alternative, ...