Probably Sufism.
There is no one specific branch of Islam that can be characterized as the "most liberal." However, branches such as Sufism and progressive interpretations within Sunni and Shia Islam are often associated with more liberal and inclusive practices and beliefs. It's important to note that the level of liberalism or conservatism within Islam can vary among individuals and communities within any given branch.
Islam is a religion - therefore the answer is Islam.
Islam, mainly sunni branch
Sufism is a branch of the Sunni sect of Islam. Sunni's are the most popular sect.
Islam Liberal itu orang Islam yang pola pikir dan budayanya berkiblat kepada Barat dan memuja peradaban Judeo-Kristiani.
The majority of Turks practice Islam, with Sunni Islam being the predominant sect. Other religious minorities in Turkey include Alevis, who are followers of a branch of Shia Islam, and small Christian and Jewish communities.
Most Bosnian Muslims are of the Sunni Sect and the Hanafi School.
The Muslims in Afghanistan are predominately Sunni Muslims
the long branch above the liberal democrats on a big oak tree in America
ISLAM
Islam
Ahl-i-Sunnat wal Jamaiat commonly known as Sunni has been the most populous branch of Islam worldwide at every point in history after 633 C.E. (when Mohammed died and Islam fractured into several branches). However, within any specific empire, there may have been a different Islamic branch that was dominant.
The majority of Afghans practice Islam, with the majority following the Sunni branch, specifically the Hanafi school of jurisprudence. Islam plays a significant role in the lives of most Afghans, influencing various aspects of their culture, society, and politics.