You ARE deeply mistaken and you are unwittingly perpetuating the disasterous myth manufactured by the Holocaust: that Jews are a race (as opposed to a people and a theology). Converts are held every bit equal to born Jews in Jewish tradition, dating back over 3,000 years, and their equal status in Jewish society is something that is upheld in countless traditional texts by many great rabbinic thinkers.
Do you realize that Ruth, the great-grandmother of King David, was a convert? And given that Christians believe the messiah is descended from the house of David, this basically means that the messiah comes/will come from a Jewish convert!
As a rabbinical student in a major Jewish denomination (and a Jew who just so happens to have converted to get here), I would urge you (and any Christian) to think twice before trying to define Jewish "reality" for the Jewish people. Christianity is built on an entire foundation of interpreting Judaism through a non-Jewish lens, and if you really want to understand Judaism, you need to study/read/learn from Jews. If you don't consider converts "real Jews," this is simply because you have failed to properly educate yourself about our tradition and beliefs.
I never said converts were not treated well. I only said that those born Jewish had an edge of sorts.
I do resent the implication that my statement is in any way related to the ideas perpetuated during the Holocaust. What an awful accusation. Shame on you.