Is the Heavenly Court's Six Imperials' replacement really just because the Jade Emperor and others have affected the interests of many Taoist Monarchs?
This is part of the reason. The bigger reason is that these Taoist Monarchs want to reshape the structure of the Divine Continent world with their will to gain the favor of heaven and earth.
Moreover, why does the Buddhism School stubbornly fight against the Nether Yin Department, even willing to be enemies with the Blood Fiend Ancestor and Witch Deity Teaching? It's because they want to gain a portion of authority from the Nether Yin Department, thereby leading it and obtaining authority.
Of course, this is just one approach. They also aim to further integrate into the Divine Continent world, contributing to the changes in its structure, such as establishing a Buddhist Ling Mountain Realm alongside the Heavenly Court or a Taoist Yujing Mountain alongside the Heavenly Court, and possibly other ways.