No harm is done to the education of my children, who change schools regularly, IF [= as long as, on the condition that, if], when they change schools, they [=the children] keep [=are allowed to study under] the same system that they had in their old school, as [=in the same way as] in our army schools, [all of which obviously use the same system of education, so it makes no difference for the children if they have to change from one army school to another].
Army children are as well adjusted as any others, if not more so.
In other words: If Army children are not better adjusted than other children, then they are as well adjusted as the others.
That is: Army children are at least as well adjusted as other children, probably better adjusted.
Student or Learner