Is the game different when your a horde or an alliance in World of Warcraft?

Answer 1

No. The basics of movement, attacks, equipment and battles are the same, but there are many, many differences between the two sides.

Answer:

it can be different between races even because you have different starting places and you are a whole different kind of history... but at the end all the races (even horde and alliance at some point) join the story line to a common objective

you cant really say that one side is better than the other, either horde or alliance, because in the end, although who you chat with is different, there are many similarities between two factions. They cant trade with each-other (unless in a neutral ah) but they can have the same weapons and armor. Both have the same -amount of flight paths. So no faction has an advantage over another, it all depends on the level of the player.

answer: your perspective and viewpoint of the game is different. a big difference between factions is questing and the zones you quest in to level up. They are separate (a horde character cannot accept alliance quests, or interact with their npc's; and visa-versa.) Capital city layout and many objectives and achievements are only available to one side, such as horde or ally-specific mounts (formally classes until the release of burning crusade) and races. Either way, end-game is similar, as horde and alliance have to work together (though reluctantly) in sanctuary's (dalaran, shattrath, argent tournament, ect.)