The movie has a 'peculiarly' [='distinctively, uniquely, particularly'] American quality.
a custom 'peculiar to' America [=a custom that is found only in America]
He's been behaving 'peculiarly'. [=(more commonly) 'strangely, oddly']
(..) I'm just saying how do we know it's an ice age? Because of all the ices! Well , things just got a little peculiar. Help! Help! Come on, kids, let's go. The berg is moving. But, dad. . . No "but". You can play later. Okay. Come on, guys. (..)2002 Ice Age