Sadly with the state of the west at the moment a burka would do the same. Honestly so would most things that isn't just random cishet white person following societal norms.
Anyways... I still prefer a keffiyeh, but if I actually want to not stand out I will wear subtle makeup, and dress as straight as I can. Blend in with the masses and all. Anything that doesn't is going to always be a potential target of something.
Yeah... Woke up to a supposed cease-fire. By the time I was home from work the occupiers had broken it. Again...