In actual practice the terms are frequently used interchangeably. As an example, Larry Dean Olsen's book is called "Outdoor Survival Skills" which is the quintessential bushcraft book. However the term "survival," like so many words, has multiple meanings and is highly dependent on context for it's actual meaning. For instance, if you are washed overboard at sea in the arctic ocean, I don't think your ability to survive that experience would generally be classified as bushcraft, would it? A pilot during a war who is shot down behind enemies lines and relies on stealing, artifice, combat, and concealment to survive would not be called a bushcrafter would he/she?
I think the term bushcraft is less broadly defined. However my first exposure to the term bushcraft was from Richard Graves' book "Bushcraft" subtitled "A Serious Guide to Survival and Camping." Yet the book itself is more bushcrafty than "survival."
Maybe one of the best ways to draw the distinction is to look at various books.
Books like Olsen's, Graves, McPherson's and Ellsworth Jaeger's for instance (with minor exceptions), fall clearly in the total Bushcraft category. Mears' "Bushcraft," with his emphasis on modern kit items is a little less so and books like "How To Stay Alive in the Woods," by Angier or Rutstrum's "The New Way of the Wilderness" and Kephart's "Camping and Woodcraft" fall into the middle range. On the survival side, I reckon the classics of the genre would be the military survival manuals like the US Army Survival Manual (FM-76) and the US Air Force Search and Rescue Survival manuals (AFM 64-4 and 64-5).