ER, I don't have any children yet but my brother used to be like this all the time. Dad used to always pull the video player apart becuase inside it would be forks, biscuits, CDs or wotsits. My bro would climb the half height wall and jump off, resulting in him needing stitches in his bottom lip twice.
Sounds to me like you were just lucky with your older one and so no.2 seems more of a handful!
I met with two friends last week, both of which have daughters aged 2yrs 1month and 2yrs 3months and they are so different. One of the girls will sit exactly where she is, will not move and is quite content to play in front of us all. The other will not sit still for one minute, and one minute is no exaggeration. The only time she was still was when she was on her potty. She wants to climb stairs, play in the cat litter tray, climb on the kitchen sides, sit on the back of the sofa - everything. She is absolutely gorgeous, so clever it amazes me but just non-stop ball of energy. Doesn't sound like you are alone, just that you have an active bubba :-)