Fedora Networking :: Access Data Through SSH - Ethernet?

A while back I've been playing with the idea of setting up one of my machines as some sort of data server and would like to access it through SSH. I've already conducted some tests through the wireless router and apparently on the software side there are no issues with the SSH thing. I also noticed that since the same adapter was in use (wireless) SSH 'fought' with the Internet for the bandwidth

In order to avoid the aforementioned problem and also in the spirit of enhancing security I am thinking of setting up the following network scheme with two laptops and two routers (a wired and a wireless one):Both laptops would receive the Internet service through the wireless router. Both laptops would be connected through their Ethernet ports to the other router. The wired router wouldn't be connected to the Internet. Would this set up allow me to use SSH only through Ethernet thus eliminating possible bottlenecks in the wireless network? I am operating in the assumption each machine would have two different IPs (one per router), is this correct?

For some weird reason (default network device?) when I connect the Ethernet cable to the laptop, although NetworkManager claims to be still connected to the wireless network, I can not connect to Internet (the wired router has no Internet BTW). But if I unplug the Ethernet cable the Internet continues through the wireless network.