I cannot comment on the translation, only the result.
Self-discipline refers to the ability to gain true freedom by controlling yourself. - An ok sentence
Some people ,under the belief that only laissez-fairethey can enjoy freedom , seem to ignore its negative impact on life.
Needs attention
Shift " ," to ", ".
Generally don't use under with belief. Have a belief, under an impression.
need to change how you use laissez-faire and only.
Some people, believing that only under laissez-faire can they enjoy freedom, seem to ignore its negative impact on life.
or
Some people, of the belief that only with laissez-faire can they enjoy freedom, seem to ignore its negative impact on life.
or
Some people, of the belief that only laissez-faire can give them freedom to enjoy, seem to ignore its negative impact on life.