Badass points are described in game as being shared by all your characters. They are based on an achievement system, and are used to buy buffs. If you find a way to get rid of achievements, you can get rid of your points. Presently, I don't think there's a way to do that.
Like most games, some achievements can only be attained through several full runs on the game, and sometimes, by deliberate heavy farming. So, in terms of game completion, there's no reason not to share your account with friends, and the like.
The game does have an option to disable the bonuses you get from badass points, if you are looking for the raw experience.
Also, badass point effectiveness decreases as you spend them on the same attribute bonus, so, to get the most out of them, you should spend them on all bonuses equally.