If you have a Rift you should already know that anything running under SteamVR allows you to use an Oculus as the headset.
I don't have a Touch controllers so I wouldn't know whether they work properly, but they should, there's no reason that they shouldn't.
I've used Leap Motion and PSMove controllers as SteamVR controllers with no problems (except their own crap tracking issues), and I'm not even using a CV1 Rift, I have a DK2, and Oculus Home tells me it's unsupported every chance it gets!
If I can use that stuff as SteamVR controllers then using actual Oculus Touch controllers should be very easy.
I don't understand why anyone would not choose to use SteamVR even if they have a Rift, SteamVR is so much better than crappy Oculus Home in every way, that is the first thing you should want to try out when you get a Rift.
Seriously, get SteamVR and you'll be a much happier person :D