Ok then, firstly you haven't mentioned that you are getting divorce with your husband before. Because that means that if you get divorce you are not allowed to take any share whether your husband dies. Coming to your children, they do not need any Turkish citizenship to inherit. lf your husband dies they may take a certificate of inheritance in the us. than come to the Turkish Court and want the certificate to be executed. However in this procedure they have to be carefull about the time. As soon as your husban dies , they should come to register the properties on their names within a year. (Just in case)
Besides somebody dies with children, all heritage will remain to the alive children.In your case this will happen to your children as long as they prove that they are legal inheritors which is in way l mentioned before.