Boat dashboards are usually pretty easy to remove as a complete unit, the trick is just finding the right screws (duh).
The screw in your second pic looks like where I would start. Loosen those, see what moves, look around the areas that don't seem to be moving and repeat.
FWIW, I'd order the new compass now. Most likely by the time you get the dashboard loose you won't want to put it all back together and then remove it again. Amazon has pretty good return polices, on the 1% chance you can't make it all work you can just return the compass.
I don't have my portable toolkit here this weekend or I'd offer to help. If you want to tackle it next Friday, let me know...
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