John Paul II has attempted to create bridges of ecumenism to other branches of Christianity and other religions. Paul VI would not have done that. It was, not too long ago, the policy of the Roman Catholic Church that marriages contracted in other denominations were "illegal". Paul supported that, which left him in the position of either recognizing the Methodist marriage of Elizabeth Seton, or admitting during her canonization ceremony that a Saint had five illegitimate children.
Perhaps, without the Pope's support of freedom of religion, instead of just glaring at the Middle East, we would be in open warfare with Islam.