Sounds normal, my 2 year old DS is absolutely full of energy and tries to climb, jump, hammer, push, pull and general physically explore everything he comes across. He was one of those babies that was into everything, emptied every drawer, every day, drove me absolutely mental and was just generally a whirlwind.
These days we tend to have a busy schedule, quite a few classes (gymnastics, swimming, rugby, dancing etc) which he enjoys, help tire him out and give our days structure. The long cold wet winter has been a bit of a chore though as there are not many opportunities for parks and walks and things but we do soft play or play dates or just wrap up! I am looking forward to summer time and being able to get him out in the garden.
He has discovered playdough recently which he loves. I guess it's quite a physical toy in a way - rolling it, cutting it, squashing it etc all appeal to him. Do your sons like that? He also has a trampoline which is quite large and a pain to live with but is an amazing way to use energy! Also if he's getting fraught and needs to move about we do action songs to get him moving - row your boat, miss Polly, head shoulders knees and toes, sleeping bunnies etc.
I had thought I would have a bookish quiet child like DH and I so it's been a shock to have a Tasmanian devil on our hands. Wonderful fun though! 