Tech straight to dragoons and observers vs terran. Scout there base as well as you can with your scout probe until you gets obs in their base. Harass their wall-in with with your first 2-3 goons until they defend with tanks. The mu is just a counter game for the toss so as long as you have obs in their base checking for how many facs he has and what units he's throwing at you, you can just counter. Expand, macro, flank his push, blah blah. If you're playing this correctly and he goes BCs or nukes, then he's either retarded or just plain stupid. Laugh at him and get goons/stormmers. Hell, carriers counter BCs if you attack while staying out of range.(get attack ups for your carrs) If he's going nukes then, again, laugh at him because you should see it coming. Have more bases than him if you want to secure your victory. arbiters work fine also against BCs.
Open with 1 gate with goons then get robo and observatory.