According to a BBC Arts article, Kathak is unique in being practiced by the Muslim community of the India, and thus has a "historical link to Islam. Farah Yasmeen Shaikh, a Muslim and a disciple of Pandit Chitresh Das in the Lucknow school, considers Kathak as a "confluence of Hindu and Muslim cultures", and has presented her performance in Pakistan...
While most scholars consider Kathak as an ancient art, some such as Margaret Walker suggest the modern Kathak is a 20th-century phenomenon, more a form of cultural revival, if one relies on the music-related Indian documents.
https://en.wikipedia.org/wiki/Kathak