It's not like being an Entrepreneur is the only good thing they can become. This country also needs teachers, doctors, law enforcers, scientists, psychologists, athletes etc...
I believe you should never spoil them too much and make them work for everything. I've noticed that a lot of my spoiled friends aren't very determined as the ones that work as teenagers.
Start teaching them about business at a young age. Read them the news, wall street journal, economist, etc. That's just what I'm planning on doing with my kids.
THIS.Send them to an upper class school and give them NOTHING. Tell them if they want what the other kids they are going to have to find out a way to get money to buy said things.
Be positive about it and encouraging.
Be sure they KNOW that anything they want to do they can do it. Its about the drive, any skill can be obtained regardless of how smart you are.
Worked for me anyways.