Taking Offence at Religeous Observance

[Tyre Tread]

Reading on another thread that mentioned people being prevented from wearing a cross to avoid offendinf muslims set me thinking. If we, as the "host/majority" society must be seen to avoid offending the religeous minorities then surely the minorities are under an equal obligation to avoid offending the host/majority?

Since a burka/ niqab, which covers up the face is as a sign of modesty religious faith, isn't it reasonable for the majority/host to ask for the minortity not to wear such a garment on the same grounds? Or am I missing something?