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I see no reason why a woman should have to hide her face or her body, nor a man have to be shamed for looking and feeling something towards a woman. Outright objectification and having zero modesty is a no no in my opinion, but I do find a prominent theme in Yahweh/Jehovah/Allah's religion(s) (seeing as they all revolve around adding a different part of a book, basically, the Old Testament 1st part, the new Testament second, then the Qur'an) is shaming one for their sexuality, forcing women to hide their bodies lest they be deemed 'whores' and men/woman being shamed for acting upon certain natural sexual urges (The latter is mostly prominent in the Roman Catholic church based on my experiences, and really screwed me up when I hit puberty and still does in relationships.)
Since these are things that do not go away and naturally part of us, we are constantly in shame and keep coming back to the religion hoping to be forgiven or cured of something that is inherently part of you, which is part of why these particular religions lasted so long.

Covering yourself by CHOICE based on your ideals or beliefs, not because someone demanded you to, is something I can respect. This is because you decided to use your free will to do something you think is morally right or something you simply prefer, not because you had to otherwise your peers would attack you or your parents would punish you. Willingly doing things to personal, and not my problem.

Well, this is an example of the dark sides of religion. In the United States, despite the recent actions of some Christians concerning the rights of homosexuals, the United States has their church and state separate, so it is not law for women to wear religious clothing, it is up to her or her parents.
Saudi Arabia, on the other hand, is a theocracy, where religion and politics are intertwined. You MUST follow the laws according to Islamic belief because those ARE the law. My best analogy for this would be the Pope being the highest authority in Canada or the US or any other highly christian country instead of a prime minister or president. This creates a large problem as it is up to the beliefs/way they interpret their holy books becomes the law, so if they interpret that women are second class citizens who must cover themselves completely or they are 'sluts', then that becomes law.
Some would say wearing things like a hijab is a form of 'oppression', but seeing them I can see why they were necessary. In the Middle East, climates reached extremely high levels and so covering of the whole body was needed to keep cool. The hijab's main function that I could think of is to keep one's head cool and prevent dirt and grime from getting into it during winds so less water would be wasted cleaning it. Over time, this became tradition and soon part of the religion and soon set up these standards of showing any skin is considered 'slutty' because it was so much more practical to hide all your skin during the harsher climates.
If you choose to wear it, I can't stop you nor will bother to tell you if you should or shouldn't, because your headwear does not and should not offend, and it is a personal choice on your part, like a tattoo or a haircut, or just wearing a hat.

Personally, I disagree with religion and politics be intertwined, because as Pierre Trudeau (a Prime Minister of Canada) once said, 'What counts as a sin in one religion may not be so in another, so we must base our justice system on CRIMES, not sins.'
Freedom of religion also allows freedom FROM religion, but some people tend to forget that. I do agree with the 'oppressed' thing, I remember a picture showing 2 women, one american and wearing nothing but a skimpy bikini and sunglasses, while the other was a muslim woman completely covered from head to toe. They had the exact same thought: What an oppressed, male-dominated society to force women to wear that. People are too quick to assume bad things of men in America, I myself would consider myself part feminist and part MRA (Men's Rights' Activist'), as both work to the same 'goal' but in different ways, making up for problems the other has.
I understand a need for modesty, and I am assuming that wearing such things would be considered modestly dressed by your culture, whereas areas like Britain or Canada have more 'daring' standards as the climate didn't call for as much clothing and so the 'norm' became different between these cultures.