Earlier quoted context omitted.
Not sure I'm following you -- yes, the Queen knighted him. How does the multicultural part come in? (Women receive the same award but it's called a Damehood and their prefix is Dame.)
If Kazuo Ishiguro is knighted, should he be addressed as Sir Kazuo or Sir Ishiguro? The point being that people of Japanese descent might place their first names after their last names.
(edit: Today I learned that Kazuo Ishiguro is British. The statement below is completely wrong. I've managed to get his nationality wrong while enjoying his books for 20 years!)
So in the specific case of Kazuo Ishiguro, the sir does not apply. For Brits with family-first names, see the other answers.