It's basically just making a very poor case for corporate personhood.
The more elegant argument is that the organization has no right, but every human being that is a member of that organization has rights
You have an individual right to practice religion, and you have a group right to practice religion. Your ability to practice religion is not limited by joining a Parish or church organization. The Citizens United of Citizens United v. FEC wanted to Produce, Advertise and Air a documentary. They have an individual right to make a movie, and the court affirmed they have a right to make speech as a group. Citizens have a right to address political Grievances. So do Citizens United
It's also worthwhile to note that the FEC's argument included that there was no limiting principle to their power. They could ban a book if a single sentence advocated for a person or ban a union from hiring someone to write a book. It is completely unsurprising that SCOTUS ruled against unlimited cosmic power.
