First you should offer an explanation of what you mean by secular, liberal and conservative. Remember secular does not necessarily mean liberal or democratic. Socialism does not necessarily mean secular. Matter of fact there are more examples of secular regimes which are totally undemocratic and tyrannical. Now tell me what is so liberal about those secular states where people are banned from wearing hijab? Yes, I agree that Islam does not allow a system where rights of people be it the rights of Muslims or non-Muslims are violated but what we've been observing is an attempt by the west to vilify anything Islamic in the name of secularism. That is unacceptable! Do you see how persecuted Rohynga Muslims in Burma are being portrayed as Islamic terrorists? This is the trend we're fighting all around the globe. Now what kind of secularism or liberal way of life is that?
I think you are mixing the lifestyle and political ideology together. If you look at the history, conservative mindset has always been threat to the progressive society because of its closed minded. The very same mindset that was crushed by Islam appeared to be too liberal for them meaning pro-equality, pro-women, pro-knowledge are considered too liberal for conservative.
Judging by your post, just because certain nations claim to practice doesn't mean it is secular or any type that is responsible behind the reasons; rather it is people that governs the lands. What is happening in Myanamar has nothing to do with secularism, rather it has to do with people using political ideology by fueling in the name of religion.
For the same reason Modi came to the power through his reputation of historical genocide incident against Muslims while his communal party still continues to wreak havoc against Muslims using beef policy motivated by communal mindset. So did Donald Trump who came to the power through the votes by majority conservative dominated people that happen to be anti-multiculturalism and anti-equality.
Likewise, terrorist-outfit aka TTP and ISIS uses its political ideology fueling in the name of Islam even though their actions and their political ideology contradicts Islam big time. Don't mix them both.
All the religions including Islam are pro-peace, pro-equality and pro-women which is also definition of secular as well. Liberal means progress whether in life, humanity, and knowledge. Does that sound like evil to you? Nobody is defining secularism because secularism already stands for pro-life regardless of background.
Mynamar, India, ISIS/TTP, Donald Trump have abandoned secularism and now adopted political ideology fueling in the name of religion or race even though all the religions promote life, peace, equality, multiculturalism.