Twisted?

I came to an odd realization today. Whenever I see someone close to me hurting I'll often daydream about trying to alleviate thier pain in some way, but it is always with my death.

Now, as a Christian I wonder is this a good thing or a bad thing? Is it a good thing that I would so willingly give up my own life to make someone happy, or am I insane? It's not as though I jump to the thought of dying immediately, but when I feel like there's nothing left for me to do it's what my mind seems to find as an answer.
It made me wonder if this is what God did for all of us when Jesus died on the cross. There wasn't any other way, so he died to save us. I'm not saying that I'm Him or anything, but isn't to be more like Him what all of His followers wish for? If I had the chance I would certainly die to save any person I know or to heal thier pain.

Or am I just twisted?