Yup Blazin is right..
You got discs in the front.
For putting discs in the back.. I think the easiest way is to use integra rear discs. Cause our 5th Gen Si's have drums in the back.
Though I really dont think you need to do all that to get the stopping power you'Re looking for.. In most cases (for 5th G civics) a total upgrade of the front breaking system will do the job.
And when you almost hit the guy, are you sure you had traction? Cause if not, that would be another thing to think about!