"Those who mimic the Nazi salute, even as a joke or an attempt to troll their opponents, trivialize the horror of the Holocaust," said the Anglican Catholic Church.
Anglican and Catholic are two of the largest distinct and separate branches of Christianity. You can't just mash them together, it doesn't work like that.
The Anglican Catholics split from the American Episcopal church, which itself split from the Anglicans when the US split from England. After all, having the king as the head of your church doesn't make much sense if you just had a revolution to declare independence from that king.
So, it's pretty weird, the Anglican Catholics want to be connected to the Anglican church, after their church split from the Anglicans in the American Revolution, and to the Catholics who split from the Protestants in the 1500s. It's almost as confused as something like Jews for Jesus.
The church Henry the 8th started when the Pope wouldn't let him get divorced. It and Catholicism have traded places as the UKs official state religion a few times over the years, causing absolutely no problems whatsoever.