Re: Judaism
Yes it is possible for a gentile to convert to Judaism (even Orthodox Judaism).
The synagogue will actively discourage the convert (Judaism is *not* a proselytising religion), but it is possible. A friend of mine did so in order that her husband's children would be Jewish despite Hitler's best efforts (her MIL lost three out of four grandparents to the Holocaust). They are both atheists, but they still do the various feasts and festivals.