There have been serious issues in this country in the past with clergy who have essentially told people they are going to hell if they don't vote for a certain political party's candidates and don't repent of voting for the other party's candidates, just barely not mentioning the parties and the candidates by name. The Catholic Answers (Which is a Political Action Committee, not a Church organization) pamphlets some parishes allow to be handed out in their parking lots should be banned from parish property (And to their credit, many priests have banned them). The recent changes in the law could make this worse. A lot of good Catholics have been lost because a church that until the 60s associated itself much more with the Democratic Party, practically became an arm of the Republican Party in this country for a while- not completely, but in some respects. Perhaps even worse, there were a lot of good people who were misled into thinking that they had some sort of religious obligation to support the Republicans and that their souls were at stake.
I mostly am using the past tense there, because Pope Francis has cleaned a lot of this up. Cardinal Burke, one of the worst offenders, has pretty much been assigned to do nothing these days. The Pope has sent a clear message that has been clearly received by the episcopate in this country that they are not to act as an arm of the Republican Party.
So, I guess, to put it simply, I am against any church telling anyone who to vote for. I'll admit, I'd naturally have more tolerance for being told to vote for Democrats and less tolerance for being told to vote for Republicans, because I'm a Democrat, but I don't feel as though it is the place of the Church to tell people to vote for either party.
I used to, years ago, belong to an Episcopalian parish that refused to politicize itself. The priest's only "electioneering" was asking people to consider the issues as adults, and vote their conscience, and to remember to vote, whichever way they felt was best. I had a private conversation with him where I off-hand mentioned I was a Democrat and he said "I know a lot of good people who are Democrats" (He was clearly a Republican [It was conservative for an Episcopalian parish, just happened to be the one I lived closest to], but would have never admitted it, because he understood he was there to represent Christ, not a political party). That's the right approach IMO.
This is an example of what has happened in the past when the Roman Catholic Church has become too associated with right-wing political movements:
Austrian Clergy's Support for Hitler Detailed
I realize that's uniquely horrifying, but it's important for people to remember that it happened. And it wasn't just the Catholic Church- there are Lutheran and Reform congregations in Germany that to this day have swastikas they carved into their buildings, left over from the Nazi era, and images of an Aryan Jesus surrounded by his disciples and a brown-shirt SS Nazi solider looking on and the like (To be fair here, the reason these survive to this day is because some of them are embedded into the structures of these buildings in such a way that they can't get rid of them without totally destroying the buildings and rebuilding, which they I would assume can't afford to do- I think it's a source of embarrassment to them now, and something they would strongly renounce, but it did reflect the reality of the way things were in the 1930s and 1940s).
People's faith can motivate them politically, and I think the Church has a role in speaking out on some issues. However, they should not endorse political parties or candidates or tell people who to vote for IMO, not even with a wink and a nudge. It's too dangerous of a path to tread. There be dragons there.