Should a person be exempt from verification of identity because of his/her religion?

CNN reported that Quebec's lawmakers passed a bill Wednesday, October 18, 2017 that would require public workers and citizens seeking government services to have their faces uncovered.

Bill 62 would affect whether Muslim women could wear religious face covering such as a niqab or burqa on government jobs or when they receive government services.
The Liberal government's bill on religious neutrality was passed in Quebec's National Assembly, reported CBC, CNN partner. The bill needs the lieutenant-governor's assent to become law in the province.

"We are just saying that for reasons linked to communication, identification and safety, public services should be given and received with an open face," said Premier Philippe Couillard of Quebec.
"We are in a free and democratic society. You speak to me, I should see your face, and you should see mine. It's as simple as that."

Is this bill a violation of people's religious freedom? But if someone is serving you, why should you have the privilege to see his/her face while they can't see yours, even if they have to confirm your identity? Is there any other way to solve this dilemma?

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