The book "Islam and the Future of Tolerance: A Dialogue" by Sam Harris and Maajid Nawaz ( a former terrorist) provides a possible explanation of the Premier's comments. The Premier seems to  be referring to the minority of Muslims with a theocractic view of the Religion, and to the that tiny segment of the theocrats who endorse terrorism in their desire to build a theocratic empire 
Snipets of the book by Harris and Nawaz are available at Google Books:
https://books.google.ca/books?redir_esc=y&id=9mZSrgEACAAJ&q=theocracy#v=onepage&q=percent&f=false

The term Islamist is too close to Islamic. Perhaps violent theocrat would be better.