...how is it beyond non-theists?
It affects everyone who is interested in the political process, atheists, non-atheists etc.
Take the example of a religious organization which is tax exempt, and allies itself with a certain political candidate, and orders equipment billed as to be used for the organization's activities, while truthfully, the equipment is to be used for campaign activities.
Right there you have not only deprived the state coffers of their rightful taxes, but also you have subsidized a political campaign unfairly with government subsidies in essence.
And if the motivation of this religious organization is to stop all candidates supporting the use of condoms for example - which is not far fetched- you end up with not only a government that is deprived it's rightful taxation, and subsidizes unfairly a political campaign, but also it may be doing so - to add insult to injury- to the detriment of it's own public policy against AIDS for example.
I say all religious organizations should be taxed like everyone else to maintain fairness, they are businesses at the core.
Either that or just abolish taxation for all.
Can I claim that business is my religion and process to get tax exemption on the basis of a religious organization?