I can see the value on a later age but there are drawbacks. If you wait until age 18, parents will get less time to oversee their teen's driving behavior and less instruction time from them. Also, some families in low income households rely on their teens to pick up kids from events or work a job when parents are disabled or equivalent (though there is a hardship license that people can get). This idea ties in similarly to alcohol. I think the law should allow for people under 18 to buy alcohol so that their parents can observe and influence their children when it is no longer the forbidden fruit to be sought. Look at many european countries with low ages, alcohol abuse is lower due to a different mindset on its use. This however is just an attempt at a transitive example of supporting a younger age.
Overall, I'd recommend learner's permits need 1.5-2 years before teens are eligible to drive.