Kindle app in Android doesn't organize books

[kebsojourner]

I'm new here so hope I've placed this query in the right spot. I have an Acer A200 with Android ICS and the Kindle app. The app provides no ability to organize my books so that I can easily locate a specific book. Is it possible to use Calibre on my Android and "convert" the books from the Kindle app to be usable in Calibre. To be clear I don't own a Kindle reader--just the Acer tablet. I've noticed there's a new Calibre app for android so am wondering what or where to go next. Any assistance is greatly appreciated and if this query isn't in the right location--my apologies!
Cheers,