Instead of tearing it down, maybe the neighbors could donate it to the Town of Moultonborough, as long as the town removes it. The town could use it as an el cheapo, quasi-community center for playing bridge or chess over at their Kraine Meadow Park recreation area, the neighbors get a tax write-off, and you get your view back ..... win-win-win!
Does it have a big room downstairs, with a nice fireplace, that would be good for a ping-pong table ..... and the town can play ping-pong in front of the warm, cheerful fireplace, all winter long ...... yeah!
Here's a NH building mover
www.admiralbuildingmovers.com from Goffstown, NH ..... maybe this Admiral could navigate this building problem out of there!