The 1DX is (for Canon shooters) the best sports body. All the pros use it. That said, before upgrading your gear, it is probably best to make sure you are getting everything you can out of your current gear. Having looked at your gallery, I would suggest the following (I mean this constructively...I'm not trying to be an asshole):
1. 1/800 is slow for fast moving sports. I would try to get it up to 1/1600 or higher.
2. Do some/more post-processing. Get a color-checker passport and use it to reduce the hideous color cast of the stadium lights. Lift the shadows in LR. Increase the overall exposure where needed. Lightly dodge in on the faces with LRs adjustment brush, etc. But recognize that night game images (under high school lights) will generally suck compared to what you can get in early/late day light or overcast daytime. And will take more postprocessing. Not always, but usually.
3. With the 70-200, you can only cover half the field. Don't bother shooting the other end. This assumes that you are down on the field. From the stands you are even more limited. Resist the urge to shoot stuff too far away (unless you need to document for posterity or legal proceedings!). You'll just end up with crappy images.
4. Shooting from the stands is mostly only good for wide shots. There's a reason that all the pros are down on the field, kneeling or sitting. Shooting from below makes athletes look more imposing. And you want to be close, close, close. Ideally, you want to see the intensity in their eyes. Pick a spot where you can get backgrounds that work. If you must be in the stands, try to find larger compositions that work. Line yourself up with the neutral zone and shoot down the line of scrimmage right before or after the snap.
5. Don't be a no-crop purist. Crop tightly into the key elements and cut out the extraneous junk. If what's left is poor quality or doesn't work, cut it. With sports it is often hard to compose in real time, so finish composing on your computer if necessary. Work for clean compositions. Clean backgrounds. No foreground clutter. Crop or compose out distracting & irrelevant junk (bright lights, signage, trash cans, water jugs, random people, etc., unless they are purposeful parts of the composition). Most cameras have plenty of pixels, particularly if the image is sharp and will be viewed on 2MP displays.
6. If you haven't already, put focus on the back button so you have more control. Not sure about the 6D AF, but you should probably be in servo. The low frame rate will limit your ability to capture the "decisive moment," (without good experience/talent/anticipation) but get what you can.
7. If you are uploading a gallery you want people to look at, don't have multiple similar shots. Choose the best and cut the rest.
8. Unless there is a compelling visual composition, don't shoot people's backs, players running/walking away from you, etc. Resist the urge to shoot because something exciting is happening even though you can't really see it. Or reflexively punching the shutter button because something amazing just happened (and you missed it). You want to see faces, eyes (if possible), the ball. Players in a highly athletic/dynamic position that reflects the intensity of the action. And as Bruce Lee says in Enter the Dragon: "We need emotional content!"