That's correct. All the water is recycled dinosaur pee (except for Antarctic ice that has been trapped longer). Every molecule of water in your body has been cycled through countless other living beings, and will again, regardless of your fate.
This is the human condition. Best of all, it requires no supernatural beliefs to appreciate.
I do appreciate the no supernatural belief requirement. I did mention to my classes about dinosaurs using the same water but teenagers aren't so easy to convince. But their facial expressions are priceless.