The point is that there's no problem at all. The standard for many Islamic countries to introduce parts of Islamic law as state law, such as the forbidding of alcohol or the veiling of women. By contrast, Turkey is much more secular in its government.
People who haven't travelled read Islamic and think Saudi Arabia. Go to Indonesia and you'll find cheap beer and the only reason women wouldn't drive is the traffic is really bad.
People can sue you for insulting religion, there is a law for it (not specific to Islam, but religion in general). 99% of the times, this is a non-issue. People just don't care enough to bring the issue to court. However, if politic is involved, this can be used as a ground to discredit a politician. It is a hot topic this year before our capital's election, where one of the frontrunners was sued for allegedly insulting al-qur'an[1]
One other exception is if you live in Aceh. It is a special region in Indonesia which implements Islamic law to the tee.
