Is it proper to talk a little politics at Family Home Evening just to bring it up? It wouldn’t be the entire lesson.
It is always a good idea to bring up any topic for discussion during a family home evening.
Family home evening is presided by the patriarch of the home. It is up to that person to determine what is acceptable to discuss during family home evening.
Family home evening does not have to always be gospel related. It is an opportunity for the family to spend time together and to teach the values that you want to have taught to your children. Yes, this includes political, social, economic and many other values that you want to have passed on.
The Doctrine & Covenants expounds even further on this:
77 And I give unto you a commandment that you shall teach one another the doctrine of the kingdom.
78 Teach ye diligently and my grace shall attend you, that you may be instructed more perfectly in theory, in principle, in doctrine, in the law of the gospel, in all things that pertain unto the kingdom of God, that are expedient for you to understand;
79 Of things both in heaven and in the earth, and under the earth; things which have been, things which are, things which must shortly come to pass; things which are at home, things which are abroad; the wars and the perplexities of the nations, and the judgments which are on the land; and a knowledge also of countries and of kingdoms—
80 That ye may be prepared in all things when I shall send you again to magnify the calling whereunto I have called you, and the mission with which I have commissioned you.
There is no greater place to do this than in one’s home, and no greater time to do this than during Family Home Evening.
Just a side note: I don’t think it’s a coincidence that we study The Book of Mormon in our Gospel Doctrine classes every presidential election year. I think by reviewing the principles in The Book of Mormon, we can learn a great deal about government, judges, the morality of people and the eternal laws of prosperity.