Wow! Don't shoot the dogs, they are NOT bulletproof...seriously, dogs get that chewing habit early, and if you do not stop them they will develop that nasty habit...some people even feed dogs rawhide treats in the shape of things they DO NOT WANT them to eat like shoes, ropes and such...how silly is that?:newsmile030:
As for the Battery Tender, keep the cords dressed high and away so they do not have access to them, or as you said you can go through the trouble to dismount the battery...but on the new 2011 HD bikes they have that HDLAN based technology.
I am not sure how well thought out a fully disconnected battery will do, with the intrinsic complexity of Security Alarm, MicroProcessor Controller and Programming backup is within that design...they may have a hidden coin/cell imbedded within; although likely they have EEPROM hard coded technology so may not be a concern. I would find out from MOCO or consult the 2011 Service Manual to be sure.