I guess I don't know what all churches do.  I know what mine does - or at least what it has done in the last 50 years:  never get involved as an organization  in partisan politics  (no use of church meetings (including the pulpit), buildings (for meetings), or publications (for communications)) and never get involved in any public issue (international, national, state or local) unless that issue has been cleared by central church leaders in Salt Lake City. 

Indeed, speaking out internally, openly on such unsanctioned issues violates the internal culture of the organization. 

Voting, helping candidates generally, and personally running for office is always encouraged but seldom mentioned over the pulpit - and then mentioned only in a non-partisan way.

The only time general church leaders speak out and urge others to do the same are on moral issues and they explicitly do that only when they believe our efforts have a good chance of carrying the day.