I thought I was using window capture. I will use window capture, keep aero enabled (of course) and see what I get. Will post a log and results no matter what happens. Thanks for the heads up!
Ok, so I also noticed I had game capture on as well as monitor capture. I deleted the monitor capture, added window capture, set it to FS2013, turned off game capture and OBS is only capturing what my browser is seeing even if I go into Properties of Window Capture and tell it to capture FS2013. If I turn Game Capture and Window Capture on it captures my game and I get 118FPS (a bit too much actually, gotta get that down to 60fps some how). So as of right now I have a black screen with Window Capture engaged and Game Capture disengaged, but I also don't have FS2013 running. Now if I run FS2013 with it selected in Properties of Window Capture it still doesn't pick up FS2013.
Maybe I'll try disabling Aero and running Monitor Capture again to see what results I yield. Sorry that is a lot of information and probably really really confusing...
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Last update here with good results, but from what you have said doesn't make sense to me...
Monitor Capture with aero disabled, yeah I can achieve the 60FPS, but it's not smooth even though there is no drop in FPS (well maybe by like .01). I just tried using ONLY Window Capture with Aero DISABLED and I was able to capture what was on my screen, so I had Steam, then pulled up FS2013 (I have been running this in Windowed Mode BTW) and it showed up. I remembered you said Aero should be ENABLED w/ Monitor Capture, so I enabled Aero and with this combination (Window Capture, Aero Enabled) FS2013 is showing up in it's window on my stream, but nothing is coming up in the window of FS2013.
So in conclusion what is so far seeming to work for me (at least with FS2013): Use Window Capture and Disable Aero (kinda sucks I lose Aero theme in windows...) and run FS2013 in windowed mode like normal. I get the smooth 60FPS I was achieving while not streaming. If you have any other suggestions please let me know. I've included a log for convenience. Thanks for the help so far.