Mechanical engineering is not being a "mechanic." They rarely build or install anything with their hands. Usually we sit in cubes running software to analyze physical systems (like air flowing over a wing) and write up the results. We use a lot of math. Technicians, who usually don't have 4-year degrees, handle the actual fabrication and maintenance.
(In case you've forgotten, mechanics is a branch of physics dealing with force, acceleration, mass, that sort of thing.)