A Mountain of Worship (High Places)

Mountains have long been associated with encountering God, so many of the Canaanite religions would build altars and places of worship on "high places." God strictly commanded that His people destroy the high places so they wouldn't worship like their idolatrous neighbors. However, we see throughout Israel's history that they would turn to the Lord but were slow to get rid of the high places. In our own lives, it is easy to turn to the Lord but hang onto idols and other objects of worship. What does it look like to destroy these high places and fully worship the Lord?