A licensed electrical contractor is, in no way, an engineer. The term "professional engineer" has a specific legal meaning, and the PE statute governs those individuals alone.
Contractors are governed by an entirely different set of rules and requirements. While it is common to find instances where the two fields overlap, they are entirely different "trades."
Part of the reason for these differences is the focus of the work. If you want to actually make useful things, become a contractor. If you want to draw pretty pictures, and leave it to others to 'make it happen' - go to engineer school.
