I'm no biblical scholar, nor am I am I even moderately well-versed in scripture, but I have a hard time swallowing that belief in Jesus alone is what will save people on Judgment Day, if such a day will even ever come. God knows your intentions, and understands the hearts of the people, and will be able to tell the upright from the rest.
That's not to say there's no benefit in spreading the word, though. I'd encourage even people of little faith (like myself sometimes) to continue reading the Gospel as a way of determining what God wants you to be, even if the answer doesn't seem to be very clear most of the time.