It's apples and oranges. . .it's not the same. The issue is can a person (Phillips) be FORCED into a contract (to bake a cake) that violates his conscience. Change it to a Jewish baker being forced to bake a cake decorated with Nazi symbols. Or a African-American baker being force to bake a cake that exalts the Klan. Phillips is not refusing service to customers because of who they are or what they believe. . .anyone can enter his bakery and purchase any item for sale. He is refusing to be forced into a contract to produce a product that violates his moral conscience.
Cracker Barrel, on the other hand, is refusing service because of someone's beliefs. This is clearly wrong but it also demonstrates how easily confused the issue can be.