Shooting kid's sports with a 70-200 f/4L was a disappointing experience for me.
Shooting with a 500 at f/4 and shooting with a 200 at f/4 are two different things.
The 70-200 f/4L at f/4 will not isolate the subject against the background at a kid's soccer match enough for my taste, but I can do it with my 400 f/5.6L much like my 70-200 f/2.8L will. That is the main reason I sold my 70-200 f/4L and moved to the f/2.8L which I shoot wide open over 90% of the time.
For the OP, I would either save a few more dollars for a new one or get a used one, but at that price point, I would go for the Sigma 70-200 f/2.8 over the Canon 70-200 f/4L for shooting kid's soccer matches.
Furthermore, the perfect single lens for kid's soccer matches does not exist. EVERY lens has compromises for this application, so you need to figure out which one will work best for you and accept that it will have it's limitations. If you want to cover every square inch of the pitch, you will need a minimum of two bodies (with different lenses of course). My ideal soccer combo (of equipment that actually exists) would be two 1DMkII bodies with a 70-200 f/2.8L and a 400 f/2.8L.
Honestly, a (Sigma or Canon) 70-200 f/2.8 lens will get you lots of great keeper kid's soccer photos all the way through the HS years and is IMHO, the most economical lens that will yield consistently high quality results.
The next step to cover the far end of a pitch is going to cost you plenty and I would advise to just accept that you can't cover it all and just go for quality where you can let the action come to you. It will usually be enough.
You may see very few 70-200 f/2.8L's on the sideline of an NFL game, but I would be willing to bet you see FAR fewer 70-200 f/4L's in that situation. And.... the background at a professional sporting event is usually a far better backdrop than that of many (if not most) kid's athletic fields.
Good luck.
Canon 20D w/grip, 300D, Powershot SX100 w/HF-DC1 flash, Canon 70-200 f/2.8L, 85 f/1.8, 17-55 f/2.8 IS, 50 f/1.8, 580EX and some other stuff...