It is interesting to me that outside of "church", I run in some groups that (generally speaking) are not terribly religious sorts of people. Very spiritual, just not religious (and yes, there is a difference). I do not always know the backstories - for some it was a very bad experience, for others it is because they just were never raised that way.
And it is a challenge. One wants to be true to one's self and one's God - after all, that is reason we are here after we are saved, right? - but on the other to become hammer handed about it simply removes any ability to discuss anything later. I always struggle to find the compromise.
I have learned a little, over time. Most people never seem to have an objection to being prayed for - and I tell them I am, whatever their spiritual understanding may be. And over time, I have learned to listen for those subtle cues that tell one "Hey, I am not really in the mood to talk on this" - hopefully long before the stage is reached where they actually have to say that (because by that time, it is too late).
Sometimes we talk around religion. Sometimes we actually talk about religion. And sometimes we talk about nothing that has anything to do with religion.
I should think that there are those that disagree with my approach - in fact, I know that there are some that do. Perhaps I am misguided - after all, there are those that believe that if are not actively confronting them (in their face) with the Gospel, you are not following The Great Commission.
But I will be honest: I do not see Christ acting that way (except, interestingly enough, with the Conservatives and Liberals of the Jewish Order), nor do I see that in the Apostles. What I do see is a conversation - yes, a declaration but a conversation as well. And an example of living like Christ, not talking about living like Christ.
I prayed today for those that needed it, whether or not they asked. I let them know I was doing it. Not sure if it makes a real difference temporally. But I like to believe it does.