There is a difference for between National Insurance and how the NHS is funded. NI contributions under the PAYE are totally calculated by how much someone makes, there is no longer a difference in NI Contributions based on if you were married or not (and this only applied to women). You can read all about how the contributions are calculated here:
http://www.hmrc.gov.uk/nic/work/ni-uk.htmNow all the people who earn wages and make NI contributions in the UK fund a pool of money that in part pays for the NHS. These monies are then given to local governments to reimburse heath care professionals for their services and pay for prescription drugs.
So your presence (and your son's) has no effect on your Husband's NI contributions. Now if your husband received private medical coverage from his employer, then depending on the program, he might have to pay some additional funds in order to cover you and your son, if you so desired.
The day you and your son arrive in the UK to settle, you will be entitled to not pay for any NHS services (if you are just visiting, you are not covered). Basically you are moving to a modern country that feels that health care is a basic human need. I know it seems strange to us Americans, but it does actually happen.