These are things that shape your personality. As a parent, it's completely fine if your child and you have beliefs that are poles apart. In fact, that is something that will act as an evidence of the freedom your child has. For example, if your family consumes non-vegetarian food, it isn't mandatory for your children to have the same habits. If your child likes it, it's great, but if your child believes that killing animals and eating flesh is not good, let them be. That's their belief, and since you have given them that choice, let them exercise it.
Another aspect of giving this freedom is not just letting them be on their own. Allowing your child to choose a faith or belief doesn't mean you leave them in a vacuum. Children are born with a mind that is a clean slate—tabula rasa—therefore, the vacuum will just leave them confused and seeking answers elsewhere.
Before you let your child make any major decisions for themselves, you must first teach your child the art of reasoning and the importance of logic. This forms the basis of how they'll make decisions.
Give your children the exposure to different faiths and even religions. Let them get a thorough understanding before they take the plunge. Give them a balanced and basic understanding of what faith actually is. Stories of your families during meals will help them get a better perspective. Having open conversations helps. Tell them what your beliefs are and allow them to ask you questions, answering without being judgmental. There's a fine line between sharing your beliefs and enforcing them, so be aware.
It's in these times that you have to remember to step back when necessary. Restricting your children to your own faith truncates their growth as an individual. You gave birth to them, and you're raising them, which is great, but here's where you have to understand the concept of identity.
There are two kinds: vertical identity, which stems from the parent to the child, and horizontal identity, which is derived from individual choices. While religion is a part of vertical identity, choices such as going vegetarian or vegan constitute the horizontal. While culture is vertical, beliefs are horizontal. If you want your child to choose their beliefs, it's essential that you avoid making it a part of their vertical identity.
When you make the decision of allowing your child to choose their beliefs, here are some points to remember: