This bill amounts to a legal indemnity from individuals and groups who have demonstrated a willingness and eagerness to abuse the court systems of America to advance a political agenda. There is no way a protection that insulates you from future lawsuits can be twisted into a measure that allows you to ‘attack’ those you are being protected against.
Your one point that it treats non-religious people as different from religious in that their freedom of conscience is not protected is an interesting one. It suggests that the law is too narrow in its protections. Instead it probably should enshrine the principle that a business has the right to refuse service to anyone for any reason whatsoever, and there is no recourse to the legal system against the business in such cases. That would be free and fair.