I am guessing the words "blanket over her head" refers to a burka, which covers a woman from head to foot and sometimes includes a screen for her eyes.
To answer your question, the burka seems to be extreme in any part of the world, including Muslim majority countries. I couldn't even find a country that 'required' that women wear a burka and only two that required a hijab. There are even Muslim-majority countries that have forbidden the wearing of the niqab.
No doubt some men require their wives to wear a burka. Just as clearly, some women choose to wear a burka. When I was in Egypt, I saw maybe a dozen women in burkas; perhaps there are more now, but they are certainly not even close to being a majority.
Hijab seems to be a choice many Muslim women make, so perhaps that's a moderate Muslim. Do you object to the hijab?
Other than participants, I don't know anyone who considers a burka moderate or charming. Some of us are more willing to accept it, the same way we're willing to accept nuns in their habits - dating from the Middle Ages when entering a nunnery was often not a choice, but punishment or one of the few places an unmarried girl could go. Or Mennonite women in their dresses and bonnets, a style reminiscent of the 1700 and 1800s and symbols for their cultural requirement for modesty and submission to men.
All religions get passes on what most of us consider extreme. There are fundamental Jews who are indistinguishable from Muslim women in black abayas and hijabs, Christian sects that claim polygamy as part of their religion, Roman Catholics who believe in and practice exorcism, the Mormon's 'baptism of the dead', Jehovah's Witnesses refusal of blood transfusions. They all 'get a pass' despite their weirdness of their beliefs and the sometimes harm they cause.
I object to the rudeness of your "blanket over their heads". Why would you think such insulting language contributes to a 'reasoned' discussion of Islam or Muslims?