RE: Hip flexors
Go back to the things I said earlier this thread about femoral control.
We know that what happens to the legs during the recovery phase (once the foot comes off the ground) plays no direct role in sprinting (see the infamous Weyand study)
The harder you push against the ground, the faster you go.
BUT....
Having an optimal posture (repositioning your legs correctly) allows you to set up in a way that allows you to more efficiently exert more force when your foot does hit the ground....you get a better wind-up, better leverage, and a greater pre-stretch from the contributing musculature (the muscles that contribute when your foot makes ground contact)
If the hip flexors are weak it's very difficult to get to that posture and people will either shorten their strides up or flail their feet sideways, as the TFL and rectus femoris try to do what the psoas can't. It's easy to see from the back.
Look at who has naturally strong hip flexor and great femoral control and who doesn't. Femoral control = the muscles in control of the femur from the hip (the hip flexors and glutes) are fully in control of the femur from both sides.
Best strengtheners: Look at the sprinters posture than try to duplicate. The hip flexors are one of the few muscles that tend to be weak in the shortened range (the very top of a full knee or leg raise) rather than the stretch range. Here is an exercise to test. Keep the natural arch and don't lean back.
http://www.youtube.com/watch?v=pxkbqUa28BY A lot of people won't be able to lift their knee an inch without squirming around all over the place. You should be able to come up several inches.
I recommend doing sets of 8-10 with a 2-3 second hold at top on that exercise. The more you lean forward the harder the exerise is. Use bands for extra resistance.
Another good exercise is doing the same thing standing up, which also happens to hit the glute.
http://www.youtube.com/watch?v=JAUwgrazCg4 (keep the plant leg straight and don't let the knee bend).
Then maybe look into pike variations:
http://gymnasticbodies.com/index.php?option=com_content&view=article&id=10:developing-the-hanging-leg-lift&catid=2:articles&Itemid=3Raptor, regarding your knee collapse, that's actually more of a combined eccentric and isometric contraction. I wouldn't get caught up in doing isos just get your quads stronger overall in things you know how to do. You can't affect one type of strength without affecting them all.