Nope. If you're choosing to provide a business, the people of a state, county/borough or city can choose to put reasonable restrictions on how you operate that business to protect public health, welfare and civil rights. One basic civil right in the United States is that you can drive up to a gas station and pump gas into your car, or buy goods in a shop, knowing that you have the freedom to do so, and that you cannot be denied that freedom for reasons that have nothing to do with the content of your character.

The fact that someone thinks gay, lesbian or transgender people are evil or immoral is not a valid reason, any more than the fact that white Alaskans thought Alaska Natives were "uncivilized savages" was a valid reason to post signs saying "NO DOGS OR NATIVES ALLOWED." Elizabeth Peratrovich blew that "logic" to pieces 71 years ago in the Territorial Senate chamber.