No. Your child will make the adjustment to the different voices just as he does with language.  It is not the range of the parent’s voice that is important, but that the parent sings, moves, and engages in your little one’s music learning.  Your child’s natural voice will be in range of the CCS Activities, whatever the range of the parents. 

[For more about vocal range, see "Is there a reason for the choice of tempos and vocal range of CCS Activities?"]