It is inevitable that certain actions of Pope John Paul II, such as his refusal to be crowned or his recent praise of the revolutionary values of "Liberty, Equality, Fraternity" during a visit to France would trouble Catholics of monarchist sympathies. However, the same Pope also beatified Emperor Karl of Austria-Hungary, a move that was welcomed by many traditionalists.
Just as being a good Catholic does not require that one agree with every action of the Pope, being a good monarchist does not require that one agree with every action of the king. In both cases one can respect the office while recognizing that the occupant can err.
It is amazing that any human being would object to Liberty and Equality, or Fraternity, for that matter.
As to being "crowned," Peter chose to be martyred upside down, feeling he was not worthy to die as Him who had no place to lay His Head.
A "crown" for the successor of Peter is a joke.