ICs are generally small and light - they would be among the last things to make in space. I expect we would start with metals: steel is very important for building, and you need a lot of it, so making that in space gets the rocket equation strongly on your side. Rocket fuel is another one because you can cheat the rocket equation if you don't have to bring all your fuel with you. As manufacturing and space cities progress more and more industry will be brought local.
I expect the main reason to target ICs is so you can deal with loss of earth type disasters. This depends of course, if zero-g is an advantage for making ICs production will move quickly. If space needs a lot of things that ICs are a byproduct of they might do it, for example a lot of solar panels would be needed in space, if there is an easy change to make ICs on the same lines of course they do it. Of course my knowledge of IC manufacturing limited, my guess is the above doesn't apply but I wouldn't be surprised if I'm wrong.