I think you are a brave person. I would encourage you to teach your children critical thinking skills. This way they will question what they are told in the mosque. Also, they can see your good example - morality does not belong only to religious people.
Crazy coincidence... I was fed Baptist-ness till I was about 13, and then my family turned to the 'messianic judaism' thing as well. That was a pretty crappy time in my development of self to suddenly turn family traditions, holidays, etc. upside-down, and I'm sure it contributed to the questions that led me to atheism.
Have things improved for you in the 3 years since you posted this?