A version of that 26th century will happen. A pretty close one, as the scarce on-screen evidence indicates:
Daniels had no problem with Archer destroying the spheres - which he should have, he being into preserving the timeline; except if the change was of little consequence or at least surgically limited - at least for the federation.
Daniels was not in the least affected by the change.
As a general principle, it's constructive to interpret on-screen events in the way in which they have an effect, the alternative being baseless feel-good speculation.
One can go further, to the 28th century and that federation's 'guilty until proven innocent' policy.
The isolationist policy of the previous centuries - becoming an extremist, 'for the fatherland' loss of liberty in the name of security?
Apparently, the wounds from the borg invasion left some pretty ugly scars on the federation.