That is the parent's business, not the Government's.
In general, they are in a group (sexual offenses), with the second lowest recidivism rate, murder being first with the lowest.
Please keep this in mind when you read the following.
There is a difference between a re-arrest and a new conviction.
For sex crimes in general you can see 5.5% were rearrested, while only 3.5 of them obtained a new conviction. That is a tad over a 36% difference.
While the rearrest rate is 3.5% for child molesters, if the new conviction rates holds a similar difference as the overall category does, that would put the rate right around 2.2%.
While I understand your zeal in wanting to protect children, punishing 97% to prevent the 3% from committing another child molestation, is not just.