There's a lot of contention about just how strong you  need to be to be a successful track sprinter.  Numbers are thrown around  by various institutes, talking about twice bodyweight for squats  (presumably meaning power-lifting legal, raw) as an example.
 Here's my take on it.
  You can't be too strong, which is to say, you can't be strong enough,  but you can do too much strength training.  What does this mean?
  If it's taking too much time to recover from a gym strength session,  which it will once you start pushing seriously heavy weights, such that  it has a negative impact on your on the bike training, you're doing too  much strength training in the gym. You're probably as strong as you can  be without starting to specialize in strength sports like powerlifting  or strongman competitions etc.  For many of us, this happens at around  two to two and a half times bodyweight for squats, or anything up to  about a 250kg squat 1RM for men, for women, around 150kg.
  Zatsiorsky and Kraemer, in Science and Practice of Strength Training,  2nd ed, talk about the notion of time available for force development,  and use the term Explosive Strength Deficit (ESD).  This is essentially  referring to how much force you can apply in a limited time.  For  example, they state that a shot put athlete who can benchpress around  220kg (~110kg/arm), can only apply around 60kg of force to their throw  because it happens too quickly for them to use all their available  strength, and that increasing bench press past a threshold doesn't  significantly increase the force able to be applied.  This is a  different beast to our track sprint cycling though.  We have the luxury  of being able to control, to an extent, the time we have available to  apply force.  A shot put athlete, as they try to throw further, has to  throw faster, reducing the time they have available.
  We can put on a bigger gear, if we're strong enough to push it, to go  faster and keep the time available constant, or even increase it, for a  given speed.  This is why you'll see riders like Shane Perkins and Anna  Meares pushing big gears, while "weaker" riders like Vicky Pendleton,  Theo Boss and the like will push smaller gears, faster.  We can optimise  our cadence with gear selection to take advantage of our strength, if  we have it, by pushing big gears, or our explosive strength, by pushing  smaller gears.