Profit/non-profit isn't a big difference. Many non-profits are essentially businesses in practice (money spent/managed, the non-profit just a conduit to the for-profit companies that defacto own it), but just don't issue stock. A non-profit can act like this, and DOES. Non-profits exist in a capitalist context and inherit those norms. Again, this is why we aim for open standards.

Also a non-profit is just that, its not a charity. A charity is an entirely other classification and even those are regularly used and abused like this.

There is more than stock required to be non-profit. I suspect technically a non-profit could issue stock, though it is probably not something any would ever try.

Non-profit is a business arrangement where making money isn't the goal. There are many different versions of one though: many local clubs are a non-profit and they exist only for the benefit of their members.