You phrase that very well. But this is where we differ significantly. This concept is what has lead some people today to see devout Christians as self-righteous, arrogant, and bigots. Why do the Jehovah Witnesses and Mormons knock on doors? Why is history full of Christian leaders using missionary work as a pretext to oppress non-christians? Why every day are there politicians trying to legislate Christianity into our government? Because of this mindset.
If I meet a starving man on the street I will help him, If i meet a person in social deres i will give them advice the best I know how. but I will never attempt to push my religion on them and say it can solve their problems.
Its simply a matter of religious structure. This way of thinking is built into Christianity, but that dosnt mean that we non-christians have to like it.