But this does not preclude accepting the events of TNG, DS9, VOY and ENT as canon. Just that we want a new storytelling style.
I think that you have to simply let all that go. I want the next show-runner to have total freedom to place the show in the 28th century with the Eugenics Wars happening in the 23rd and the first warp flight happening in the 25th, if he/she so desires.
Carrying over continuity from the old series would just shackle the new creative team to something that has nothing more to offer creatively.