I really don't think it says keep your faith to yourself.
It does say to look after the poor, the sick and the foreigners, to not turn the temple into a market, and to pay fair wages, it says not to judge others and not to make rules for others to follow whilst not following them yourself, it says that it's easier for a camel to go through the eye of a needle than for a rich man to get into heaven, that if you're rich you should sell stuff and give the money to the poor, and it says that you should forgive other people's debt to you.
That's why Conservatives aren't terribly keen on actual stuff Jesus said or actual things the disciples did.
OK, yup. Fair point.