If you are running another network in parallel (e.g different IP addressing) then you will need to make sure things like routing, VC ip addressing, NAS IPs etc are all updated as well and do not cause conflict.
Depending on how physically close these SSIDs (if using the same name) are to each other, is there likely to be a case of the clients roaming between the IAP clusters?
Also, do you have any IDS protections configured which may potentially see the adjacent network and mark it as rogue?
You do indeed need to either change the VLAN on the switch port (if changing VLANs) of the IAPs and most certainly change the DHCP addressing.