From this article in Buddha Weekly:
I think it’s a really tricky question. There are different streams in western Buddhism, from organisations like Rigpa and Shambhala to Thich Nhat Hanh’s mindfulness-centred Buddhism to the secular Buddhism of Stephen Batchelor. I think a lot of western Buddhists with a background in the New Age will at least be comfortable with the dualism of having a material world and a spiritual world. So a lot of those who would naturally be attracted to Buddhism would be ok with some supernatural elements.
On the other hand, the scientific mindset seems to be quite common in the much bigger group leaving the Christian denominations, and I reckon that if they felt that Christianity had too much woo, then the supernatural elements of Buddhism would probably also be too much to take. These people might get on board with a secular Buddhism but would be likely to poo-poo anything involving flying arahants.
What’s your opinion about the supernatural in Buddhism?