I (still) consider myself to be a Hindu, and I think I get along fine with you guys!
The "relationship between Hindus and Buddhists" is hard to quantify. But I can say with confidence that as of now, in modern India or elsewhere, the majority of Hindus get along fine with Buddhists, as they do with Muslims, Sikhs, Christians, Jews, or members of any other community.
As Retro has pointed out, the Buddha is seen as a God, but not just any
God, he's considered an Avatar of Vishnu, so he'd be right at the top level of the hierarchy of devas
. Of course, some Hindus try to project Buddhism as a "subset" of Hinduism, this ignorant lot unfortunately includes people who are well-educated.
This does not stop people to give a lot of respect to Buddhist teachers in India, however. As christopher points out, the Dalai Lama is a highly respected figure in India and an overwhelming majority of people and the government support the Tibetan refugees and their movement.
In Bodh Gaya, Hindu shrines lie adjacent to ancient Buddha- rupas. You can hear the Muezzin's prayer call while sitting below the Bodhi-tree. The Dungeshwari cave, where the Buddha is supposed to have spent years in ascetic practices, has rupas of Hindu gods and goddesses along with the ascetic Buddha. Neither the Hindus nor the Buddhists insist on throwing out the others' idols.
Irrespective of religion, majority of people are kind and compassionate to others around the world, unless provoked and brainwashed by politicians or fanatics. Hindus and Buddhists are no different. In India, our Prime Minister is a Sikh, the ruling party's chief is a Roman Catholic from Italy. Our previous president was a Muslim. All this of course does not imply that India is a Utopian land, far from it, but these are good signs nevertheless.
-Samāhitam cittam yathābhutam pajānāti.
समाहितं चित्तं यथाभूतं पजानाती |
A concentrated mind sees things as they really are.
-Ujuko nāma so maggo, abhayā nāma sā disā.
उजुको नाम सो माग्गो, अभया नाम सा दिसा |
'Straight' is this path, fearlessness is its way.