How would you have solved this, while intending to make a series in this timeline? Clearly the world has changed since the 60s, and any series will be influenced by the time it is made.
That's why you make it a reboot (or an alternate timeline), there's no way you can mesh two things made fifty years apart into a consistent whole. I treat Discovery as a distinct thing. What a tribble is doesn't lose its meaning just because the show is its own thing.
Some people are attached to the Prime timeline, which is fine. But, whether or not Discovery is a reboot doesn't affect my enjoyment of the older material, I watched "Descent" last night, nor Discovery.