I allow them to look once. Otherwise I'll just tell them. "No, my falcon can't hard 3" "k fighters greens are 1 and 2 banks and straights". I will not keep handing you my dial ever round. You should be able to remember if my ship has a hard 1 or not.
Opponent looking at my Dial/Possible maneuvers
Actually, I'm quite happy to play against an unknown dial. It's always interesting when the opponent pulls a maneuver that I'm not expecting or didn't know he could do. I mean, can he do a hard turn at speed-1? I'll just assume so and plan accordingly.
He could show me his dial at the start, but I doubt I'd remember all of the maneuvers by the time we're half way through the game. So for me there's no issue.