I'm not a Mechanical Engineer, but I married one and gave birth to two of them, so I feel somewhat qualified to weigh in here.
My kids are grown and gone. I feel your pain - I wrestled with this my whole career, and feel like I've just finally come to terms with the decisions I made.
I won't ramble on, but will just sum up what I think was best for my family. I don't think I would have been a great "at home" mommy. I just didn't feel like I could have given them enough stimulation. I was lucky enough to find a wonderful home for them to go to every day, with a very motivated, engaged caregiver. It was a dream situation, really.
I've been with the same MegaCorp for decades, and when they were teenagers, I was lucky enough to get a telecommuting job. Their teen years are THE time you want to be around as much as possible.
For a period of time, I began to question whether our sons were human. They were sneaky, surly, snarky, snotty brats, and it was not a fun time. Suddenly their senior year of high school, they grew out of it. IMHO, their teen years are when they needed us the most. If I'd gotten out of the work force, I'd probably have had trouble getting job like I got.
So, that's just my take. If you like your job, work now while you can, save up, build your retirement cushion and some savings so that when they get older you too can be around more during those critical teenaged years.
Welcome to the board!