If we follow the young lady's displacement scheme.
Hmm, the Lord of Japan is still the Divine Witch of the Amaterasu Shrine. The shrine, having accumulated prestige among the Japanese witches over the years, would make it easier to convince the masses.
Acting in the name of the Divine Witch could also come with the slogan of purging traitors and firmly hold the moral high ground.
And, although the displacement action sounds absurd, when you think about it, it seems pretty effective.
For example, if they were to draw the character for "demolish" on the Heaven's Guard Pavilion, what would the Chinese Clan do?
The Chinese Clan take Heaven's Guard Pavilion as their center. If even their main base were to be demolished, wouldn't they lose face?