Warning I have not attended KADK, but I do have some information. I applied to the Urbanism and Societal Change program last year and did not get in. They accept roughly 40 per program and let in somewhere between 5-15 non-EU people per program. The one I applied for they told me only 5 non-EU people got accepted and 180 non-EU applied. 

I did visit the school last year and did a walk around. I stumbled into the urbanism and societal change program room and the students were extremely friendly. The quality of work was high, exactly the type of work I would want to do and expect from the program. The facilities are kinda dated, but I did not see their workshop/prototyping lab. They are located kinda on an isle of sorts across the river from the main part of copenhagen, pretty cool environment if you ask me. 

I absolutely loved Copenhagen. It's a city that many people fall in love with from what I understand. In fact, I hope to move and live there for a portion of my life. 

I'm going to apply again this year, but for the Strategic Design & Entrepreneurship program as I would like to open my own firm. 

Good luck!