Faith vs. Ideology? What is the difference?

Below is a paragraph that I wrote a couple of years ago when I was reading through some literature about ideology for my dissertation. How can we distinguish between godly faith and political ideology in the public square? 

"How can religious ideology be distinguished from religious faith? Ideology contains certainties; faith contains mysteries. Ideology promotes militancy; faith promotes humility. Ideology must be implemented with energetic human force; faith rests in the providence of God. Ideology produces antagonism between opposing parties; faith produces love for one’s enemy that bridges oppositions."

Holding a political philosophy or ideology is not necessarily wrong, in fact, it may be necessary in order to participate in the public square. But how do we keep our political ideology distinct from our faith? How do we make room for brothers and sisters to share our faith (one faith) but respect them if they choose to identify with the opposing political ideology?  

How do we advocate for our political ideology in the public square without confusing the public about our faith?