Yeah the turbo pipe and the cat will make the exhaust significantly more free flowing.
When I had the Code Red (Long story why I don't anymore), I just ran the silicone hoses downward and faced it backwards. Not sure about yours but mine was a bastard to install as the bracket it came with had a hole smaller than the bolt it was supposed to fit.
The silicone hoses make a lot of noise though, it was quite loud so I recommend attaching a proper hose. As the standard airbox is restrictive as hell, you will definitely notice a difference.