I don’t think so. For tax exempt nonprofit groups, this is the deal you made with the nation’s taxpayers: Taxpayers will pay a bit more in taxes so your group does not have to pay (tax exempt). And your group does not use its position to promote political candidates. This is not a free speech issue. You don’t pay me for my political views. If your tax exempt group is now allowed to promote candidates, it amounts to taxpayers like me paying for the promotion of your political views.
This is NOT preventing religious people from speaking from the pulpit or soliciting political donations. If they want to promote politicians, they do not get to make me pay for that. They can give up their tax exemption and then they can speak politically all they want.