Your question reminds me a bit of my readings on some of the early explorers who 'converted' the natives to Christianity. The natives were so struck by the superior technology that they assumed that this was becasue of the Christians superior God. The natives then called themsevles Christians, worshiped Jesus and built crosses etc.., but were they really Christians? Half the time the explorers didn't even understand what they were evagelicizing.
In the situation your describing, the name of Jesus, if not accompanied by anything else is completely useless. The same with the historical/physical/narrow definition of Jesus. If you tell a Hindu that someone was born who was the son of God and died for our sins it means nothing. How can he accept it and why should he believe you? But if you tell him what this man SAID only then will important information be exchanged. If you tell him all the teachings of Jesus, only then might he ask, "That is truly amazing, who WAS this man who spoke so?"
If the Hindu is taught about the idea of Jesus and IF it is different then what he already knows from Hinduism, then I would say he does have a choice to make. He can either incorporate Christianity into his religion, convert to Christianity and completely leave his religion, or ignore Christianity.
If he ignores what he has learned then his Conscience will surly bother him.
But.... if a fully practicing goodly Christian meets a Buddhist who offers to teach a meditative technique that relaxes and increases wellness, and the Christian does it and finds it to be a wonderful experience, but then shies away from it because he feels it is incompatable with Christianity - This person will be bothered by his Conscience the same way the Hindu would.
In other words, the Goodness found within us - God - directs us towards His will and what is good for us. If we interpret religion in a way that is in conflict with this then that religion, or more accurately, our interpretation of it, is failing us.
You've been a very interesting person to discuss religion with. I would like to hear what you think of some of the subjects I mentioned to research. The Essenes and whether Jesus was one, the Kabbalah and tree of life, The Great White Brotherhood, and the magi. It would also be interesting to hear your thoughts on reincarnation, hell, the gnostic gospels, the Council of Nicea in reference to the trinity, and your thoughts on how astrology, numerology, magic, and zoastrianism influenced the development of the Bible. I'm particularly interested in the concepts that astrology teach in reference to reincarnation.