In fact, politics should not be everyone's business, but the circumstances of the country may force people to do so. For example, in my country Turkey, if you turn a 10yo. child and ask him about his views on politics, you will get answers you would not believe.
People should be able to live without having to think about politics, but some politicians run their countries so badly that people start discussing politics. Don't ask me how do you know it
I doubt the possibility of people going about their normal businesses without thinking about politics whether the politicians are good or not. At least, people still need to come together to change a government constitutionally, except the political positions are lifetime positions. Politics is a social activity.
Many will say they have no business/ interest in politics but indirectly, they have been involved in politics from the opinion and conversations they hold about the ruling party and many more. If politics is not everybody's business, then we do not have the right to complain when the ruling party govern the country for their personal gains.
Politics gives every citizen a voice. It is through politics you exert your grievance on any leader. Staying away from politics will do us no good. Its is the responsibility of every citizen to see to the growth of his or her country and politics gives us that chance to carryout this responsibility.