A former President of the Church, Heber J. Grant taught, "Politics reminds me very much of the measles. The measles don’t hurt much if you will take a little saffron [herbal] tea or something else to keep them on the surface. But if they once set in on you, they turn your hide yellow and sometimes make you cross-eyed. So do not let politics set in on you. I believe absolutely in the best men for the office. I believe in honest, upright, good men being chosen to occupy places and positions."
"That the Lord may help him to think straight, and to pursue a straight course regardless of personal advantage, factional interest, or political persuasion, should be the daily prayer of every Latter-day Saint." (Teachings of Presidents of the Church: Heber J. Grant, Chapter 17).
It is that last bit that really strikes me, although I find the first part fairly humorous. In political systems around the world there is a great deal of animosity between political parties, and between those who are in power and those who would like to be in power. In the United States, the Republicans and Democrats cannot seem to see eye to eye on anything. So what do we do when our party is not in power? President Grant has a wonderful suggestion, we pray for those that are in power. We pray that they will "think straight, and to pursue a straight course regardless of personal advantage, factional interest, or political persuasion."
We may not like who is in power, we may not like their policies, but would it not be productive to pray that to the Lord, who is over all, that those making decisions will make good policies and see beyond politics.
On the mount the Lord taught, "Ye have heard that it hath been said, Thou shalt love thy neighbour and hate thine enemy. But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you" (Matt 5: 42-43).
I believe that faithful prayer from good people can make a difference. That even if we don't like someone, the Lord does love them, and can influence them for good, particularly when those decisions they make affect so many of his children.