ABSOLUTLEY! Every time I see some religious hypocrite making political statements while driving a CADILLAC, I see red!

Yes yes yes

When a church does anything to attempt to influence votes, they've crossed the line and should no longer be tax exempt. I'm betting that almost all do encourage their parishoners to vote a particular way, so remove the tax exemption!

Yes and no or with conditions.

If you are granted tax exempt status it should be required that your books should be published in public so we contributors can see if you spend our money wisely.
A PDF saying you spend 12% on admin doesn't tell us anything.

As I understand it, churches were given tax exempt status as a way of keeping them separate from the State, because it would be a type of taciturn endorsement of a religious state should the State either give or get money from religious organizations. As we have all seen, they're putting their money into politics, endorsing candidates, and lobbying with SuperPACs to further their agendas. All of this is either unconstitutional, or a clear forfeit of their exemption status. Using money to buy politicians is a disqualifying action. Therefore, it's obvious they should lose their exemption to being taxed.

As long as there's a clause in there stopping then influencing politicians

Absolutely YES. Or at the very least churches should have to do something to earn being tax exempt. Many churches are just political organizations now and as such should be subject to tax. Charlatan preachers that get stupid people to buy them jet planes should have to pay taxes on that. And that is not even to mention how ridiculous it is that for-profit scams like Scientology get tax exemption status.

For churches who actually work as churches to feed and shelter those in need maybe not, but for those others absolutely. Maybe they should have to show proof that they are doing using a major portion of their income to actually help society.