Sufism can surely bring peace between Muslims and Hindus but to say because it's a mixture of Islam and Hinduism is not correct even if you might see some elements of Hindism in it.
Bahai faith is a different religion or cult but Sufism or tasawauf is part of Islam.
What are the origins of Sufism?
The evidence of Sufi borrowings from other religions such as Hinduism and Zoroastrianism is certain. The similarities in teachings and ritual are overwhelming. It is no surprise then that the goals of Sufism reflect the pantheism and monism of Hinduism.
The Rifa‘iyya, a major Sufi order which spawned numerous sub-groups and associated branches, was named after Ahmad b. ‘Ali al-Rifa‘i (d. 1182). The practices of this order reveal the extremes to which some Sufi rituals went as the Rifa‘i dervishes “became famous for their extreme practices like eating live snakes and performing various feats with fire.”47 This preoccupation with snakes and fire is clearly paralleled in the practices and rituals of Hinduism.
*In the regions of India , Sufism seems to have had a particularly strong impact. Yet, many Sufis in these areas seem to be influenced by Hinduism. One author, Martin Lings, who is a practicing Sufi, quite boldly states that “Prince Dara Shikoh (or Shukuh), the Sufi son of the Mogul Emporer Shah Jahan, was able to affirm that Sufism and Advaita Vendantism (Hinduism) are essentially the same, with a surface difference in terminology.” Another Muslim scholar, Seyyed Hossein Nasr states that the “orthodox Naqshbandi saint Mirza Mazhar Jan Janan considered the Hindu Vedas as divinely inspired.” *