What your comments about aerospace remind me of is something I would myself frequently do: fantasizing about a different industry about which I know very little. (Years ago, I used to imagine going back to school to study law, on the grounds that being a lawyer is a good way to really work for social change.)
Obviously I didn't go back to school, and I certainly can't tell you what the right decision for you is. I think a bit of curiosity about the road not taken is natural--but you also have to be clear-eyed about what the alternatives actually look like.
To your specific question, however, I would strongly recommend interviewing at a few other teams inside the company and a few other companies. Before I came to my current employer, I interviewed here and a few other places. Some of them struck me by how _bad_ the interviewers were; in fact, my interview experience at my current employer (where the interviewers impressed me by their intelligence) convinced me, at the time, that if I didn't get the job I would stay at my then-employer rather than move to a less impressive place.
So interviewing can be clarifying in terms of showing you what else is out there, and helping you make a trade-off between natural wanderlust and, you know, not settling for something shitty just because it's new. ;)
I have been at Google about 12 years now and had a three year stint in Payments until somewhat recently. Out of all of the organizations, projects, and products I worked on (6 projects, 12 managers, 5 offices, 2 continents), Payments is the least Google-feeling of them all with the worst management and politics (frankly it was fucked). The rest of Google was a dream in comparison. Had I known Payments was in bad shape, I might not have joined it originally.
Before leaving, try somewhere else. I recently founded my own team elsewhere build software for distributed system infrastructure, and I cannot tell you how fun it is. The joy is still at Google, but Payments is a blackhole. I can't believe the rest of the leadership tolerates that hostile black sheep of an org.
Google is largely what you make of it.