Firstly, I would say that sometimes no matter how tough it seems you need to learn to objectively self-edit your work i.e., being able to say to yourself, yea this shot would have been a winner if I would have timed it just a half second later, or exposed it better or composed it this way, but I didn't and no amount of photoshop is going to save it, so I won't show it to anyone.
We all have shots like that, this one would have been a real winner, but the harsh reality is that, for some reason, it is not, there it is . . .
I might as well learn from my mistakes and move on to the next image.
To some degree the amount of "suckage" you see in your pictures is subjective, you can post the most "craptastic" images on the internet and there is no doubt that someone will respond and say it is the best picture that they have ever seen, that is just the nature of artistic expression. It's all very subjective.
Now if you go by the rule of thirds you will notice that if you look at your images with a critical eye that all but the last one is centered, flat out perfectly centered in the frame, just like you would expect with a nice shot my grandmother could take with her little point n' shoot camera.
The thing with the rule of thirds is that rules are made to be broken, and again it's all very subjective, but most times you need tons of experience and skill to break the rules and get away with it.
Want to see some examples of how (in my opinion) to shoot cycling, look at these images of the Tour de France from the boston globe: Tour images part I
Now you are going to look at some of those images and say "hey they look centered to me" and yes they are, like I said sometimes you can break the rules, but there is an equal number of image that follow the rule of thirds in there as well.
Still not convinced, check out the Tour images part II
So the key things you need to look at, backgrounds, story-telling images, and rule of thirds, now this is not the end-all-be-all information about either photography and or cycling photography, I am, just like everyone else, still learning myself, learning to see light, learning to see composition, learning to take compelling images.
I am not perfect, or better than anyone else, not in any way, shape or form, but you asked for my "thoughts" so I offered up some input.
There aren't many times when you can "save" a bad photo with photoshop (but that is just my opinion).