It's a monarchy, yes (technically a 'personal prelacy').

He calls himself the "supreme pontiff" (bridge) between heaven and earth--yet that role is reserved to Christ Alone.

He calls himself the "vicar" (the 'instead') of Christ--yet that role is reserved to the Holy Spirit.

The greek word for 'instead of' is 'anti-' -- thus, "he is that antichrist."

The church is not to handle civil matters, especially not corporal punishment. She "bears not the sword."

The power to judge a man worthy of death, and to execute it, is given to humans as a whole. This is why we have the trial by jury. See Genesis 9:6.