Yes. But the question is, do Muslims seek or value "independent scrutiny" as @danieldemol's claim implies.
I vote no. They do not care about that at all. But they are human beings, so, the insults and unfair judgments will take their toll.
Here's how I feel: it makes sense to apply scrutiny to an idea or a doctrine if someone is actively promoting it as "the best". It's not appropriate to criticize and scrutinize a doctrine or religion when some one says, "It's mine".
People seem to pick on Islam simply because it exists, and they pick on Muslims simply because they are Muslims. When someone makes a ridiculous claim, by all means, apply the full force of critical analysis against it. But the claim "It's mine" is not a claim of "it's the best". And until someone says "It's the best"; i think it's rude to begin scrutinizing their religion without empathy.
First off, I will stand by my claim that Islam's core claims are incoherent, I believe that is a fair judgment.
Now @Saint Frankenstein just said that Muslims do not claim that Islam is a religion of peace. That's very relevant to this discussion. If he's correct, then the rest of us have every right to scrutinize their doctrines. Can you see that if Muslims claim that Islam is NOT peaceful, the rest of us have every right to be suspicious?