The neighboring countries, especially Nigeria, Ghana, Togo, Benin, but also Ivory Coast, have a vital interest that Burkina gains stability, again. But I think it will be France, and the US, in the end, which will weigh in and make the difference.
The military knows that. They know there is no turning back to pre-2000 or even pre-1996. Democratisation has arrived in the heads, and, in form of mobile communication, in the hands of the people. News are traveling much, much faster today. And the Burkina-bé are proud of their democratic progress. Very much so.