I am not a follower of Islam or any other sect of Christianity or Judaism. Despite the differences in many of the ideals and teachings from these religions and what I believe, I feel that I should wear a hijab and/or jilbab and otherwise dress modestly with some sort or head covering or scarf. I believe that each person should do what they feel is best for them, and by that logic, I know that I should cover and be modest, but I am also concerned with how others would feel about me doing so. I would be wearing the coverings so that others see me for my inner self and not judge me on my outward appearance, because I believe it is the right thing to do, and because I would like to keep my whole self to myself, those close to me, and the Divine/Spirit. However, I do not want to offend anyone with my ignorance, either culturally or religiously.
Is there anything in Islam that restricts or discourages non-Muslims from wearing such traditionally Muslim garments?