At the end of the day you do NOT HAVE TO SQUAT if you don't want - no1 is forcing you to squat, bench, deadlift etc etc - I am a big believer in if an exercise is really causing you that much drama simply don't do it and find a different exercise instead.
Unless your goal is to be a powerlifter, Oly lifter etc etc or you play professional sport and for whatever reason your needing to squat (I know of professional rugby players that don't even squat due to injuries etc).
Of course include all compound movements somewhere in your training if you can BUT if one is causing so much stress that your training is going backwards because of it simply replace it with another exercise.
The OP's question is so open-ended and somewhat frustrating - Why are people trying to squat more? Why are people trying to run faster? Why are people trying to get bigger? Stronger? Leaner? etc etc
The answer is because we can - its a challenge, it drives some people, its the motivating factor in whether people will go to the gym, get up in the morning etc etc....
Question to you is do you train? Why?