I have a somewhat sympathetic view to the removal of religious articles of clothing in general. That said I come from a cultural society that has been founded on in the main with the notion of "leave your problems over there".(My view as Australian, there will be other Aussies who will disagree).
However, we have survived 200 years, managed to get out of the Empire without a civil war and managed to do quite well.... the one constant, we are isolated and we take a lot of immigrants... we suffer the populate or perish routine quite a bit... (land mass size of the US, with the population size of New York spread all over it). But we have done well as we are very religious neutrul in the main. Sure we have the major religions here, and they are popular to a degree, but an Aussie is more likely to discriminate over what football team you follow than your religious background in my experience.
We have the highest Irish and Greek background immigration in the world... but the IRA never operated here, neither do we attack turks as we favor greeks.
We have in the main achieved that by an attitude in the public of "Sure we understand its happening at home, over there, whatever.... especially religious issues" But thats half a world away and you have made a life here now... so leave it back there. Your Australian now... not muslim, turk, jew, or asian or Enlgish... That has begun to corrode in the last 20 years here.... and now we suffer the same thing in our newspapers, media etc,.... we are labeled racist or semetic sympathizers etc.... because we don't encourage the conclave mentality that a lot of cultures seem to follow when they emigrate. I find it offensive personally when i am on a train and people are speaking a foreign language... they are here in my country... speak my language please. I will make an effort if I go somewhere to learn some of the language and would try dearly to learn it all if I lived there and called it home.
I say drop all religious icons, clothing and everything else... its corrupted and caused so many wars. Religion should be relegated to a private thing between you and your god... and if you wish to gather with others great... do so. But don't allow it to spill into public or become a thing of politics... its only going to cause trouble.