They also point to Indonesia as a peaceful, moderate, multicultural, pluralist, democratic majority Muslim state. There are two problems with that.

First, it is actually having a hard time maintaining that balance against a growing extremist faction::

http://www.aljazeera.com/indepth/opinion/2016/11/islam-politics-indonesia-identity-crisis-161121082414557.html

Second, Indonesia has tried hard to position itself as a role model for Muslim states, without success. It is too peripheral to the center of the Muslim world, the Middle East, its mainstream form of Islam has been influenced by Hinduism, they are not Arabs and do not speak Arabic, the language of the prophet and the Koran, etc.

https://www.nytimes.com/2015/11/27/world/asia/indonesia-islam-nahdlatul-ulama.html