As a clinical social worker who works with sex offenders (males & females), Jeremy's denial, defenses, distortions, effort to align with Dr. Phil, needing time to "think about" answers, etc. are typical of an offender who has not yet come to accept what he has done. I honestly would have been surprised if he had passed the polygraph. This guy needs to be prosecuted and go into an intense treatment program. It often takes months for these fellows to acknowledge the big picture, and even then it most likely done in baby steps.
As for the safety of the yet unborn child, Jeremy should not be allowed near this child in an unsupervised situation, nor should he touch this child. This child does not need physical contact with Jeremy to thrive. As part of the assessment for amenability to treatment, a plethysmograph needs to be done to uncover his victim pool's ages and sex.
One statement that stood out for me was made by Jeremy's wife, I'm sorry I don't remember her name. She commented that Jeremy could not have offended the child because he was too busy, people were around etc. She is very wrong!!! Jeremy likely was offending Kaylee when he was "tickling" her on camera, or having he sit on his lap. Offending can take many forms and quite easily can be done in front of others who are supposed to advocate for the child. These guys are very sneaky.
Bravo, Dr. Phil for tackling this issue. More people need to know about the issues of offending.