Under Jewish tradition, converts are fully Jewish, subject to the same obligations as any other Jew. If a child is converted by their parents as an infant (perhaps because the child is adopted as an infant, or perhaps because the mother converted after giving birth) the child is allowed to reject that conversion upon reaching the age of 13 (the age of bar mitzvah). It is impossible to convert to the traditional priestly class, the cohenim. Many people named Cohen, Kahan, Kaplan, and similar names are cohenim. Recall that Moses married a convert (Tzipporah) and King David was descended from a convert (Ruth).
Jewish people were treated horribly during the holocaust
No, Jews were killed by the Nazis on 'racial' grounds. Converts from Judaism to Christianity and atheists of Jewish origin were treated in the same way as practising Jews.
they are treated bad
Believers of God.
Jewish converts are welcomed by all Jews, though generally speaking, Jews do not encourage people to convert because they do not believe there is any such need to do so.
A person who is born to a Jewish woman or who halachicly (following Jewish law) converts to Judaism is a Jew.
According to Jewish law, a person who is born to a Jewish woman is 100% Jewish. The same goes for any person who converts to Judaism according to Jewish law.
That's normally found amongst converts to Judaism, some converts choose to not change their name.
== ==
they were treated a lot worse.
They were treated horribly beyond words
Only if he converts to Judaism.