Wow, okay Jim didn't need to come at you so harshly, but everyone is pretty much correct about the law - no mopeds on bike paths.
You do have some rights that other posters didn't mention, though.
In your quotation from the law books, you copied out that mopeds "...are permitted on bike lanes and bike routes, with or without the motor engaged." This specifically excludes paths, and the motorized vehicle prohibition takes that one step further.
Still, this does mean that you are allowed to ride in the segregated, on-street bike lane. Do you know where any of those are?
That might be the best way for you to get around - you can just ride all the way to the left in the on-street bike lane, and have a comfortable bail-out zone.
Alas, cars that are specifically prohibited from driving in the bike lane do so anyway, and no one really tickets them. That type of unfairness makes it seem like you should be able to play fast and loose with the bike path laws, but you better be kitted and fast because there are some really strong, angry cyclists out there.