/diy/ - Do It Yourself

So this is less of a technical question, more of a career strategy question.

Right now I'm stuck in a dead end mechanical engineering position with no room for movement in my company. Don't ask how I ended up here, I just did.
I have talked to a manager in the electronics department about projects in limbo they can't get done and he did mention a sizeable project that has no deadline but would be "good to have" for internal purposes.
My question is; should I take on this project and work on it on the weekends blowing off my current home projects? Or should I just focus on my home projects strictly?
The purpose of these electronics projects is to fluff my resume and get a job designing electronics. I'm thinking that taking on this project at work may look better on paper rather than building a device I am actually interested in but ultimately is still a hobby project with no oversight.
Thoughts?