That's the reality of having a kitten. They want to play all the time. If you want to sleep peacefully, keep the kitten in a different room. You should not 'crate' a kitten like you would a puppy, unless they have access to water, food, and a litter box the whole night. She shouldn't be in your bed at night either if she can't get down to get to the litter box. (I remember when Chloe was super little, she was cautious of jumping from high things and she couldn't jump up on our bed either).
Kittens are easier when adopted in pairs (with other kittens the same age) because they can entertain each other.
Every night, spend 15-20 minutes playing with your kitten with an interactive toy like Da Bird or string or something for her to chase around. You can find Da Bird at most any pet store, but here is a link so you know what I'm talking about:http://www.amazon.com/Bird-Interacti.../dp/B000679IE6
Not every cat is a cuddly lap cat either. If you wanted a cat to snuggle with, you should have gotten a lazy adult cat that sleeps all day.
Your cat may grow up to be that way, but for now he is going to be super playful. Kittens sleep a lot during the day too though so maybe snuggle with him when he's asleep already.