Terms like "self loathing Jews" and "self hating Jews" are characterizations used by the right to describe others, nobody uses these terms to describe themselves. Interesting, the people who employ these characterizations don't describe themselves as "self-loving" Jews, rather they focus is on what they're against. That implies to me they're looking for a target to explain the anger and hate they feel.
Republican former Virginia Governor Jim Gilmore files paperwork to enter presidential race (AP)
from the article: Response / On 'exorcising' Israel bashers from the Jewish mainstream