As with all things in Japan, there is no definitive black or white answer...it is grey.
This shade of grey was given to me by Nishioka Tsuneo Sensei, menkyo kaiden of the Shinto Muso Ryu.
The difference between budo and bujutsu is not one of technique so much. It is jutsu when defending life or country, etc. and it is Do (michi) the rest of the time. What changes is your intent and application.
Bushido is another subject. As others have said, there is a lot of misunderstanding about this term caused by a lot of popular myth taken for truth.
Thanks for an interesting discussion on this subject.