>through a process of moral cultivation, one can achieve Tao and obtain special powers and a level of divinity
If you read their books (e.g. https://falundafa.org/eng/eng/pdf/flg_en.pdf, just search for "David Copperfield"), they elaborate a bit more on the potential supernatural abilities that one can achieve through meditation.
Nothing they do is unique or substantially different than many of the Asiatic religions that have existed. People tend to fear what they don't understand.
If you read their books (e.g. https://falundafa.org/eng/eng/pdf/flg_en.pdf, just search for "David Copperfield"), they elaborate a bit more on the potential supernatural abilities that one can achieve through meditation.