The ability to trade RA for stability would be nice.
Not having a civil war and losing half our values would also be nice.
Mechanically, God-King is almost certainly incompatible with our values: Mythyladism would consider it ridiculous at best and blasphemous at worst, our Philosopher Kings would start asking inconvenient questions about how the 'ascension ritual' actually
works, and Division of Power (not to mention self-interest) would make our factions strenuously oppose it. Even if we did manage to acquire the trait, we would lose our more useful values along the way. RA to Stability is a useful trait, but not particularly great, since we actually
like having fairly high RA. It's not particularly worth it,
especially given the cost attached.
Narratively, we'd be cooking up a gigantic lie from scratch and trying to force-feed it to our people. The problems attached to that are so obvious I don't think they need to be pointed out. Suffice it to say that at least Mythyladism would reject it, and since they have separate infrastructure, we'd almost certainly have a civil war. The results would be catastrophic, the gains would be negligible, and even ignoring all that, it'd be ethically questionable.
I'll pass on God-King, thanks.
I'm still having trouble seeing why we wouldn't want to just not build the bridge in the first place, and call it a day.
Because then
we'd have to go around the province too, which defeats the point of the Megaproject.