I've double checked it and everything seems to be set up correctly. I have my main LAN on 10.1.1.1 and the second one set to 10.2.2.1. I'm able to connect to the second network fine (and can then ping/access the router config at 10.2.2.1). However, when I try to access the internet, I get no response.
Thanks for pointing me in the right direction on this. After looking at the rules there it became apparent what was wrong. NAT was not occurring for those addresses on the second subnet. It says something to this effect way down at the bottom of the wiki page, but it's not apparent that this needs to be done to complete the setup.
For anyone who may stumble upon this thread, here what I added to get it working:
Code:
iptables -t nat -A POSTROUTING -p 0 -j SNAT -s 10.2.2.0/24 --to-source `nvram get wan_ipaddr`