>>Guess what? The wife and new boy-friend got the house (sailor makes the payments), car (sailor makes the payments)and child-support, which the Navy would conviently take right out of his paycheck<<
But his problem is not the cost of this child.
The problem is that your hypothetical sailor is now supporting the whore and her pimp, as well as the child.
If the child were legally his without question, there would be no support payments, he would be living in his house, and his whore of an ex-wife would be sleeping on a bench.
Custody is the key. Everything else flows from that.
Speaking from experience, it is almost impossible for a man in the military, on sea duty, to get custody of his children. Most judges worry about the father leaving for months at a time, they'd rather put the children with a whore of a mother then have a father defending this country.