just so you know
there is absolutely nothing special about the ae86/ke70, its a 25yr old corolla.
they are one of the easiest cars to work on, and have nothing specialised about them (in stock form that is)
any workshop will love you for coming in, as they can charge you money, for working on an easy car.
if you are just after a basic mechanic so long as you dont go to a dodgy backyard mechanic you will be fine to go to any that look pretty decent.
i dont go to a mechanic, but when i get stuff machined i go to : John Harper Auto Services Address - 23 Thorne Street, Wynnum, 4178.
they have a workshop and a extremely decent machining/engine shop.
they do a great job and they are family friends.
i worked there for a bit back in high school, very clean place and organised.
there are various performance shops, but in most cases your just wasting your money as they charge more. unless you need something performace related done (engine tuning, performance parts installing) but like i said these cars are very simple.
good luck