This will definitely become a problem for me someday. I don't believe in God and have no desire to have my future kid(s) indoctrinated into religion. My mother should be okay with it because she has now accepted my position on religion and no longer tries to revert me back to the faith. But the rest of my extended family and my in-laws? Wonder what shitstorm they'll conjure.
To answer your question, OP, I don't think you have to send your kids if you don't have any real emotional attachment to your faith. Before I grew a pair and admitted I was an atheist, I was in denial and for all intents and purposes, muslim in name only. At that point, I used to ponder questions like these and think it'd be important for my kids to have some sort of religious identity so they could integrate into society and not be viewed as outcasts or misfits (religion is serious business here, even more so than in the US). But religious folks often like to argue that faith alone can instill in a person the value of human life, honesty, selflessness and other behaviors beneficial to society.
And that is wrong. Good parenting and setting a great example at home (by action, not just words) plays a much bigger role IMO. My Dad was sort of a non-practicing Muslim. Sure, he had a Muslim burial, used to pray on occasion and observed religious holidays - but his actions very often were driven by his own code of ethics and morality. His views on various topics were driven by his own understanding and rationale, and very often contradicted those driven by blind faith. I think I will probably end up like my Dad - except I will be an atheist and not a non-practicing member of a faith.