Personally, I'd let android do it's thing. On a phone like the Note 2, unless something is draining your battery faster than you can blink, you don't have to worry yourselves with any of the background processes. Media is one that runs because YOU ran something related to media. Exchange has been in every android phone I ever had- I don't think that is one you can disable (but I may be wrong).
The only time I look at battery stats, running processess and things of that nature is when I visit forums and cant understand what/why people are panicking over it when they don't have to.