Grappling in general, and Brazilian jiu-jitsu in particular, is an excellent nucleus for solid defensive tactics, combatives, and self-defense. Certainly striking is a large component of a complete approach but the fundamental control of balance and position can help see you through most situations.
The main difference between sport and street martial arts is mindset and tactics. This video put together by a good friend of mine demonstrates this. The stills and video come from a seminar taught in Louisville, KY. This was a team taught event with Rolando Haddad of CORE Combat Sports and me from Valhalla Academy.
During the stress drills at the end of the video the emphasis was on disengagement. Control the opponent through grappling and land just enough strikes to get away. Contact me at info@valhallaacademy.com if you would like to attend or host one of these Complete Combat Seminars. Enjoy!