Well, isn't that the whole debate? As a Catholic, that is your position. However, no other religion accepts that claim (AFAIK).
The Catholic claim that the Pope speaks with the guidance of the Holy Ghost is only persuasive to Catholics.
When the Pope speaks excathedra on these issues it's no longer an opinion. It's truth.
For Catholics, sure.
Yes, that is true. The the Roman Catholic Church alone claims this doctrine.