It's getting harder with each episode to say this series belongs to the prime timeline. I can understand updating the look of the technology to our expectations of what technology would like. TOS was created twenty years after the first modern computer. We are many decades further on from those primitive machines, when our computers are doing things they could not imagine then. However, the design of the D-7 and the unnamed starbase at the beginning do not look like any aesthetic familiar to me of the Klingon or the Federation cultures. Then, there is this.
"I knew what waited for them on Qo'noS - degradation, torture, slow, public death. It's the Klingon way. To spread terror."
Are they Klingons or ISIL?