You can use them in non-organic grows BUT the non-organic fertilizers are more likely to kill them and negate the beneficial effects. You might have to do a little tweaking (well a lot of tweaking probably) to figure out the right balance.
A lot of folks claim you can't use beneficial organisms with synthetic chemical ferts which is total BS. Many bacteria do in fact feed of ammonium, urea, and many of the other mineral ferts. Now, you can't use them at the same time or combine them, as this will indeed kill the bacteria, but if you keep them separate you should see the effects.
From what I've seen Aerated Compost Tea (ACT) which contains many beneficial bacteria, plus a whole host of other organisms, will benefit virtually any style of grow.