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If you're looking for a severe budget system, you've mostly got the right idea, at least other than buying a GTX 1050 first. I'd stay away from a white label hard drive, however, as that's way too big of a risk for your system drive. Once you add shipping, it costs all of $2 more to get a new 7200 RPM drive of the same capacity from a brand name:http://www.newegg.com/Product/Product.aspx?Item=9SIAAEE43U4941http://www.newegg.com/Product/Product.aspx?Item=9SIA67S3G46464You don't have an operating system or an optical drive listed. Optical drives aren't the only way to install an OS anymore, and you might be planning on salvaging one from another system, but make sure you have some way to install a legal OS.
Oh crap I just noticed that the dual slot video card will get in the way of my PCIEx1 for the WIFI.
You can extend a wireless antenna away from your system to prevent interference, it's just a bit more involved than a bridge. Bridges typically also cost more.
Actually, let's back up a bit. Is there some reason why you have to use WiFi in the first place and can't just use ethernet? Sometimes there is, but if the computer is going to be 5 or 10 feet away from the router, just run a $2 ethernet cable and be done with it. Ethernet is better than WiFi in every way you can think of (bandwidth, latency, ping, packet loss, cost), except for having a connection without needing to run a physical cord.