I don't think any non profit, religious group, NGO, union, any group that receives government money, etc. should be running any sort of political campaign. No dollars can be spent to run a campaign or give money to a campaign.
I'm fine with advertising your mission and lobbying with elected officials. I'm also fine with a press release of this organization supports/does not support any certain legislation. Can not come out in support or does not support of named candidates or political parties.