No. Both routers are doing routing in your setup, unless you've mangled the configuration of the Actiontec is some way to get the WAN port bridged with the LAN ports.
The Linksys is routing from your public IP space to your internal LAN 1 (lets say 192.168.x.0/24). Then your Actiontec is routing from 192.168.x.0/24 to 192.168.y.0/24 (internal LAN 2). It's double-NAT'd. Your Actiontec doesn't know the difference between routing from the public IP space or 192.168.x.0 space. It performs exactly the same in either case.
All the Linksys router is doing in your setup is ruining your throughput. -- University of Southern California - Fight On!
I see. Then you're correct that for your computer traffic, it's only passing through the linksys.
I'd still recommend trying out the Actiontec router again for awhile before dropping some cash on a new router. Do you know what Revision it is? It should say on the bottom of the router. -- University of Southern California - Fight On!