The blood sugar spike is a basic human survival response and probably was necessarily several thousand years ago. Unfortunately, in 2016, it's nothing more than a pain in the a**.
As mentioned, what's likely happening is your liver is releasing glucose into your blood to make sure you have enough usable energy. It's part of the fight or flight instinct. That was probably important if you needed to run away from a lion or predator....it's not so important if you're running on a treadmill. It is a temporary response as your liver can only hold so much glucose (about 500-600 calories worth). Most people find that after about an hour, your blood sugar will start to stabilize as you use up all your glucose/glycogen.
The best answer I've heard to avoid this is to gradually build up your intensity when beginning exercise and gradually wind down when finishing exercise. The idea is to minimize the "shock" to your body so it doesn't feel a need to dump energy into your blood.