No it didn't. All it established was that 2150 was the year that the last states that were not already part of UE joined, and that Australia was amongst that group.
Oh, sorry, that's exactly what I meant by "really coming together". As in "finally reaching the intended goal" or somesuch. That is, before 2150, Earth would not be united under single political leadership (or whatever the UE means), and after 2150, Earth would be thus united.
Niven's series are in the 26th century (or sometime around there) so having the exact same timeline for the Man-Kzin wars in TOS (which was in the 23rd century) messes it up.
But in Niven's universe, mankind had only recently gone interstellar when the Kzinti came in the 26th century. In the Trek universe, mankind has only recently gone interstellar when the Kzinti supposedly come 200 years before the 23rd century. The timeline is not all that messed up, really.
And in Niven's universe, by the 2500s, a global cabal has technologically and psychologically stagnated mankind for 300 years in hopes of quelling its urge for war. In the Trek universe, a WWIII has recently honed the fighting skills of mankind, no doubt in space warfare as well.
It isn't so far-fetched IMHO for Earth to fight against primitive space invaders (yes, you can have such a thing in the Trek universe!) just a few decades after Cochrane does the first warp flight. After all, by that time, Earth was already launching colony vessels and explorers left and right, to nearby and faraway stars. To have the Man-Kzin wars in the late 2000s would not significantly stretch the credibility of the Trek timeline, as long as those wars weren't an epic high-tech struggle. Just have the humans observe an inbound sublight fleet of ratcats or four, ascertain that they mean nasty business, and then effortlessly dispose of them by using the superior range and reaction time afforded by warp drive.
Or hell, have the Vulcans do that for us, and then claim credit afterwards! Sulu never claimed humans did it alone. And Chuft-Captain would never admit that the pacifist vegetarian Vulcans had had any part in that fighting.
Timo Saloniemi