Can you let Karma and King together alone for a few minutes each day? The babies are very young. I do allow my stud boy Simboya to interact with his kittens when they are older....about 6 weeks of age. He is very good with them, even the ones that are not his. I know not all male intact cats will be okay with babies...it could end in tragedy. Is King a gentle cat...easily handled and loving? Keep in mind Karma may come into heat soon as well...three weeks after kitten birth is what my girls are averaging...so keep an eye on that if you do decide to let them have time together as you do not want her getting pregnant again so soon. I would not introduce King to the babies until they are older, and then I would let him see them while you are in attendance, preferably holding one, with someone else in the room to help. Karma might not want King in with the babies as well, so that is another thing to consider.
I know there are breeders who will disagree and say that it is never a good idea....my stud boy's father was good with babies as well, and so is Simboya, who is very laid back and gentle always, so in my case it has worked out well. Simboya has played with my other stud's kittens as well...even before he became a father himself. It is my understanding that some males will hurt or kill kittens that are not their own. But because Simboya for the most part lives with us as a pet, sleeping with us etc, and I felt he would be fine...and he is, so far. I still keep a careful eye on playtime for any signs that I should reconsider allowing a stud cat to interact with the babies; rough play, biting, etc. My boy at two years old still thinks he is small kitten, and loves to run around the house with the babies and sleep with them. I do know that could change as he gets older, so am always alert to signs of that.....