You see; it's not really about fairness...It's about punishing people who believe differently from him, because he doesn't like them.

I don't think you've demonstrated this at all. A lot of people who don't really care one way or the other about theistic dogma look at the situation and simply see massive organizations raking in tons of money and paying zero taxes, and don't think it's fair. Just doesn't pass the smell test at first glance or upon extremely careful scrutiny. Just because somebody may be ideologically opposed doesn't mean that this simple truth does not also exist.

because if he were evaluating it logically, he could arguably get a better deal out of the situation by getting rid of his tax burdens as well.

This argument doesn't stand up to common sense. Most people (besides maybe anarchists) believe that everybody needs to be taxed something to pay for services that the government provides. Doesn't matter what the percentage you believe it should be is (large or small) to realize that arguing that everybody should "try to get it to zero" is fundamentally untenable, unfair, and unreasonable.