A heroic breath averages out to roughly 8.3k int for 10s once every minute or so. Normal bindings gives you 11.8k int for 20s once every two minutes roughly.
Now a few people have mentioned that the 20s proc is diminished since we want more procs more often ... this is partially true, but thankfully Dark Soul is also 20s and it's very easy to line these up with AD. You can also line up your end-of-dark-soul dot refresh with the end of amp trinket, something that you either can't do with breath anymore given it only lasts 10s. Breath also gives you around 1650 ish haste (likely reforged to ~1k haste and 600 mastery) whereas amp will give you 8% bonus haste and mastery, which is about 800 haste and 1200 mastery in ~550 ilvl going into siege.
It's incredibly obvious that breath averages to more 'int per second' in a fight, and I've seen a lot of people use that as justification for using the trinket over bindings. However, it's hard to put a value on a predictable cooldown proc that has the same duration and (roughly the same) cooldown as your main damage CD.
This isn't really meant to make a point one way or another - I tend to use bindings on fights where there's a long-term boss where you can always depend on doing full dps when your trinket is up (e.g. sha of pride, malkorok). I tend to favor the breath/wush setup on fights with lot's of adds where more procs is really beneficial (e.g. Galakras, Spoils).
EDIT: Had I the chance to jump ship to either KTT or BBoY I would do so in a second but sadly that hasn't been our luck.