Is there a technical reason for your wide traces or is it personal preference?
Both - more copper left on the board = less copper needs to be etched away; there's more contact surface between copper & laminate, so less risk in case of rework (if / when needed); the lower the resistance, the better, most of the time; and why WOULD you want or need to go for "bare minimum", when you're not compelled to?
The pitch of the OPA1679 is 1,27mm (50mil) so if I go for 0,635mm (25mil) traces I would have very little separation between signal traces and pads.
Exactly - PITCH, not pad width. 0.6mm is about the width of the pads themselves, is it not? So what's wrong with that? And especially with such a simple circuit / board, are you reeeeeeeeally constrained to need to run ANY traces between any of the opamp's pads? Really?
Split that quad opamp into two duals, if the routing really is THAT complicated There are ways...