So let's revisit why we have something called a Right to Freedom of Religion.
What was it our Founder's thought was so very important about FREEDOM of Religion that they were compelled to even write about it in a legal sense?
The Founders felt Freedom of Religion was so important, that it had to be be able to stand separate from Government. Why?
Why did the Pilgrims come to America? What were they fleeing?
So, if one answers your question from both a historical viewpoint and a true understanding of the basis on which we have Freedom of Religion, then the answer to your question is true.
And the answer is No.
Do we need a Constitution Amendment clarifying Freedom of Religion or can we rely on the Supreme Court do the right thing (that is to interpret it the way the Fathers intended it) if a case is eventually brought before them?
Last I checked, only CONGRESS was prohibited from establishing a NATIONAL religion, or prohibiting the free exercise thereof. Not NY state or City.