There has been a lot of talk about tradition and passing it onto our children. Perhaps the reason we want to do this goes without saying, but let me add my thoughts on why it is important.
We, as parents, have to raise and nurture our children. We just can't have children, plop them in front of the TV and hope that they grow up to be successful, independent and responsible adults. To ensure this, or at least provide a better opportunity for it to happen, we have spend time with them, talk to them, and demonstrate through our actions the values we wish to impart to them. Hunting provides the perfect setting in which to do this.
Hunting teaches them responsiblity, independence, respect, patience and that immediate gratification doesn't always come or that it comes in many forms.
You may not harvest a deer, but did you enjoy the squirrel playing or the sunset? Take pleasure from these things. And, just knowing that you overcame the challenges of a hunt, the cold, the steep terrain, is a victory and teaches that you are strong. You have an inner strength that you can call upon when life gets tough - and it will.
Now this part may be controversial, but I think hunting also teaches them to be the predator and not the prey. Hunting hones your survival senses and makes you stronger.
Life is full of evil people who like to prey upon the weak. Like the animals they are, they can sense weakness and they can sense the strength of another predator. They will avoid the strong because they are cowards.
I don't force hunting on my daughter, but I provide her the opportunities to participate. It will create a bond between us and make her a better person.