By not Following The Doctorine? I know its Simplistic but it is a huge step we need to take as a society
So effectively you're suggesting a suppression of religious freedoms in government? You seem to be asking people in government to go against their religious values and beliefs, for what reason? Just so that politics and religion are separate?
In my opinion this is impossible - politics is "the activities associated with the governance of a country or area, especially the debate between parties having power." This is inherently inseparable from the individual opinions of the voters and politicians, and why should you ask religious people to not their religious views influence their political opinions? Their religion is part of who they are, and consequently forms part of their opinions, which naturally influence the way they vote. So I think that even if you try, you cannot completely take religion out of politics, unless you were to ban religious people from running for government (which would be a gross infringment of religious freedoms and human rights).