How would that make them win, they would have to travel further then ever have to even be on par with the firepower they are facing...10K in years.
If you're ready to just throw caution to the winds and not worry about destroying the whole universe with cumulative time paradoxes (desparate times call for desparate measures), time travel is a huge tactical advantage as long as you're the only side that has it. Every time you fight a battle and lose, you just go back in time and take what you've learned into the next battle and modify tactics accordingly. Yes, this involves a tremendous number of paradoxes and it's one reason why writing good time-travel fiction is a real pain in the ass, but TOS opened this can of worms, should I ignore their possession of the technology? It's a real differentiator between ST and SW science.
Prove they can.
Prove? I don't know, that has a fairly technical meaning to me. Should I call expert witnesses? Who'd you have in mind, Zephram Cochrane? Captain Pike? Maybe I should subpoena Spock? Nobody can 'prove' anything in this kind of discussion, all you can do is offer a point of view with supporting arguments.
And we throw in the Hyperspace aliens and it's no longer the Empire vs the Federation.
Yes, thanks, you have supported my point exactly ... there are many non-technical wild cards at play. Should I ignore their existence? I feel I would earn some well-justified criticism if I did.
And just for the matter, you think you are honestly the first to come up with any of this inane shit?
Well, since I never said that I thought I was, and in fact prefaced the whole statement with the possibility that I wasn't, then I guess your answer is no.