I like and prefer dentistry just **I'm not all that hardcore about science** that much, otherwise I would major in Biology or Chemistry. Engineering has always been a second love of mine...
I studied mechanical engineering and worked as an engineer for a few years designing airbags. Although I contributed to the 30,000 lives saved annually, I became tremendously discouraged by the amount of time behind a computer screen and felt like I could do more to give to my community. So I quit my job and went back to school to knock out dental pre-reqs.
I think you may have a misunderstanding of what being an engineer and what engineering school is like. It's not just tinkering in a shop to build cool things. It's some of the most intense science and math classes you'll ever take. Some highlights: all 3 sections of calculus, ODEs, PDEs, fluid mechanics, heat transfer, thermodynamics, dynamics, etc.
I'd put all those courses on par with O-Chem (some are worse, honestly). Biology classes, even upper division, are a breeze compared to those. So, for someone to say they're "not hardcore about science" and then contemplate engineering, I just assume there's a disconnect between expectations and reality.
As for dental applications, I think engineering is one of the best degrees to have. But I kept a 3.5ish GPA. Honestly though, dentistry is nothig more than "tooth engineering" and all of those principles of engineering will help me as a dentist.