I think the misconception might be the word 'Catholic" and how it's being used.
The word catholic simply means universal. That is to say that salvation is open to all, not just the Jews as was the ideology in the day of Christ until the first century church was formed, to which they called themselves the 'Catholic' Church.
Now, there are different types of "Catholic" churches, and that's where I believe your confusion comes in. Note the preface to word 'Catholic" in each church. There is the
Orthodox Catholic church,
Roman Catholic Church,
Milkite Catholic and
Antiochian Catholic church just to name a few. (and there are many)
Now, I havn't read the Wiki article, but it may help you to better understand the word 'Catholic'
http://en.wikipedia.org/wiki/Catholic
Back to your original thought in regard to the Pope, by the broad definition of the very word catholic, you are indeed a part of the Catholic Church. I'm sure that I've got your hair raised now, but please, hear me out.
Please note; I
did not say that you were a part of the
Roman catholic church. What I said is that you are a part of the universal (catholic) Church of Christ. That is to say that you are a part of the body of Christ.
Where the
Roman catholic church takes a stand, is in saying that the
fullness of Christ can only be found within the
Roman catholic church and to this, you may disagree as do all who label themselves protestant or any other label of christianity including the Greek Orthodox church. Now, according to Vatican 2, those outside of the Roman Catholic church can still belong to the Catholic Church and thus, can be saved and yes, this even extends to the Protestants.
Does that make sense to you?
BTW, I would be considered a protestant from the view point of the Roman catholic church.
Hope that clears things up a bit for you.
Peace.