Even if China itself did nothing else but just provide good education to Tibetans, the religion issue would be resolved by itself in 1-2 generations.A big difference between India and China, though, is the level of religiosity.
Studying India, it's shocking to discover that Hinduism isn't all that different from Islam in being orthopraxic (acting Hindu makes you Hindu), and that religion to Indians is a key part of social life.
Traditional Tibet, mind you, was a theocracy. So having a strong religious proclivity means that Tibet is likely to tilt toward India on a cultural basis. This is something that can be remedied by education, but if the traditional culture is religious, it will be hard to get Tibetans to shift their mindset fully.
There is a scientific proof that the higher level of education a person has, the lower he/she believes in any kind of religion.
Now that China in addition to education, also provides infrastructure improvements, well-paid jobs, making travel to/from rest of China cheaper allowing more people to travel, this process of reducing religion is in full swing.
India can scream and shout all it wants about the next "reincarnation" but in 10-20 years this will gradually become meaningless. Yes it will take time, but the trajectory is clear for everyone to see.
So, India and the US only have about 20 years to "try" and use the Tibet card.
After that... poof! It will be gone forever