Yea - as far as the drop downs, you're kind of SOL there. It's a problem with the type of menu that WIS is using for their top nav bar - it just isn't friendly for mobile browsers.
To play off of jjboogie's idea, there's probably something easier than going from email - browser - email - browser. Use his idea of going to each individual page (PracticePlan.aspx, TeamGamePlan.aspx, etc), but just mark each page as a bookmark from within Opera. Then you'll still have to switch worlds from the locker page, but then your navigation will all be handled from within Opera at least and you won't have to keep switching between applications. It may take some getting used to, but once you're comfortable with it I'd imagine you wouldn't have many problems. The main setup is just the biggest hurdle as you'll have to find each page address.
Here are the main pages you'll want access to I'd imagine:
Depth Chart: http://www.whatifsports.com/hd/office/DepthChart.aspx
Practice Plan: http://www.whatifsports.com/hd/office/PracticePlan.aspx
Team Game Plan: http://www.whatifsports.com/hd/office/TeamGamePlan.aspx
Player Game Plan: http://www.whatifsports.com/hd/office/PlayerGamePlan.aspx
FSS: http://www.whatifsports.com/hd/recruiting/Scouting.aspx
Recruit Search: http://www.whatifsports.com/hd/recruiting/Search.aspx
Player Ratings: http://www.whatifsports.com/hd/rankings/PlayerRatings.aspx
Team Ratings: http://www.whatifsports.com/hd/rankings/TeamRatings.aspx
Those are the pages I'd want bookmarked, at least.
**Edit: You can actually still change worlds from the world switcher drop down at the top right of the main page, so you wouldn't have to go back to the locker each time to flip between worlds. Makes for a few less clicks.