I read once (on tvtropes) that this was originaly the intro music but was replaced for some obscure reason.
http://www.youtube.com/watch?v=X8vslSWlsEg
It is a lot better (although I still prefer all the other intro themes).
Anyway, as this threat turned into How would you change enterprise hoping it would be better, I'll post with my proposed changes.
First I would change the starting date for enterprise from 2151 to 2154. This might seem a trivial change, but there is a reason for it. the Federation was founded in 2161. If you assume a Star Trek series is usualy 7 years. You can have the founding of the Federation in the final episode, which seems like a good ending. As is obvious from this the theme for the series would be the founding of the Federation and not the first steps of humanity in deep space. For such a series you realy need to set the series earlier in for example 2100-2110 (first contact was in 2063 and 50 years after first contact and 50 years before joining a interstellar/interspecial Federation seem a more reasonable timeframe for such a show).
Next i would change the setting drastically. As I said the major theme would be the founding of the Federation. If you form a single nation with a group of people, it seems reasonable that you already know them for a while and relatively well. So earth already knows and have extensive contacts with not only the Vulcans, but also the Andorians and Tellerites. The relationship between these species is not openly hostile (they will form a single nation in 7 years after all), but there are of course differences in opinion. Part of the first three seasons will be the Enterprise trying to ease possible rising tensions between these species.
Other important storylines of the first couple of seasons will be first contact with a couple of major star trek species (like Bolians, Betazoid, perhaps Orions, Nausicans or those gold dwarves). There will be no appearance of Borg, Dominion, Ferengi or any other species that were contacted first in next gen era Star Trek (or TOS era for that matter). Other major storylines could be the Enterprise helping with setting up new Space Colonies for Earth. But a major plotline would be the Klingons. First episode of the series First Contact with the Klingons which ends up disasterous. This leads to major conflicts with the Klingons, but never outright war.
Those are the first couple of seasons. Then around season 4 the Romulans turn up and the Erth-Romulan war starts. The Romulans are behind any tension that was rising between Earth, Vulcans, Andorians and Tellerites. So they must form a united front against the Romulans. Part of these seasons are Easrth fighting the Romulans and losing. The other species are also bothered by the Romulans and they slowly start to realise they must form an alliance. All this ends in a victory for the coalition and the four species deciding to form a federation.
the crew of the Enterprise will be different. My major complaint was that the crew was too American. Earth is earth, not just America. TOS, TNG and DS9 were able to form a rather international crew, so Enterprise can do that too. The captain can be an American for all i care, but the rest of his crew (with possibly one exception or so) are from all over the world. Furthermore, it doesn't make sense to have a Vulcan aboard that is a full part of the crew, so he or she will be merely an observer, not the second in command. At a later stage an Andorian and Tellerite observer will appear (although perhaps just as regulars, not as a main character).
So those are my ideas.
That is pretty much what I have already done here.