I found Sika Concrete Caulk Crack Filler online for $10 a tube. Caulk outdoors is a temporary answer. You might get a year or two out off it, and then it will have to be dug out and re-applied. The knock on these it is either too thick or too thin. I'd leave it out in the sun for a couple hours or wrap in an electric blanket to thin it out. The general instructions are to use a backer rod or sand so the product does not go into the abyss. I don't know how deep your cracks are.
Another option is urethane adhesive especially designed for concrete cracks which fills and sets without expanding and sets hard, so one could drive a fork lift over it, way stronger than caulk. And it is designed for garage floors, warehouses, etc in lieu of pouring concrete which will of course crack again. It's
3M 600, but it avoids re-pouring and eventual re-cracking and is way better than caulk. Then again, its $100 a tube.
An easy approach would be powdered self leveling cement, which would be applied in a thin coat, would sink and fill the cracks, then trowel off and be done with it. Yes, it will shrink and crack, but easy to reapply every year or two.
I think I'd leave the cracks alone myself, and enjoy the woodshop rather than a driveway. Its concrete after all.
My masonry driveway contractor had a 100% money back crack guaranty.
That's right, his driveways are guarantied to crack or money back. Expansion and Control Joints force the cracks to those areas, but still, concrete shrinks and cracks and when water gets into even a small crack, it cracks way worse.