Well, yes. That was the argument of Christ and the early Christians, more or less. They did not (quite) say Christ's teachings had no value unless all other beliefs were rejected. But they certainly said a Christian could not continue to believe anything contrary to what Christ said and remain a Christian.
Christ himself said salvation could come only through Him. That means unless you accept Christ as the Savior, honoring his teachings as moral precepts have no value for you as an individual in the long run. In fact, if you reject him as the sole Savior, you are by definition not honoring his teachings, since you are deciding on your own authority which of his sayings are valid.
Even if that be the argument, why impose it on Buddhists & Hindus who do not share that conviction?
Where, in the last century or two, have Christians "imposed" their arguments on Buddhists and Hindus? If I believe strongly and make an argument for my opinion, is that "imposing" my views on the hearer?
Another reason why: Christ told us to. He ordered his followers to preach his Word, including most especially the part about him being the Son of God and the Savior of the world. He did not order them to go forth and devote their lives and suffer horrible deaths to promote the idea he was just another in a long line of good moral teachers. That would have been a remarkably silly thing to do, and even Monty Python couldn't really find much silly in Christ's teachings.
How would it matter if Buddhists & Hindus accept the teachings of Christ but not necessarily the contention that no other path exists?
Because the core teaching of Christianity is that no other path to God and salvation exists?
Because if that teaching is abandoned Christianity in any meaningful sense ceases to exist?
You have made quite clearly the argument of where you think Christians & Christianity stand with respect to the teachings of Christ but what has all this got to do with Buddhists & Hindus? Surely, if they were remotely interested or convinced by such a position they would be Christians by now. Not really sure how you can stop them from picking and choosing whatever it is that they want.
Was very surprised at the rigidity in your argument. If Christ was replaced in your post with Mohammad and Christians with Muslims, this could well be the doctrine of the Taliban and the hardline mullahs. Purely speaking as a person with a completely different view of religion and the world from your own, your post seemed more an indictment of Christianity and Christians than anything salutary. I am sure that there are a few takers (I’m hoping very few) for your outlook but you can count me out as a fan. This is precisely why the world could do with more people who share the underlying sentiments that the Dalai Lama expressed.
Thank you very much for your time. I sure did learn a lot. Wish you the very best.