just FYI
the IDF has a status called בן מהגר that allows full entry to israel for children of citizens who fully live abroad. it allows for short visits to israel without IDF obligations, and allows for 1 year of studying without obligation. additionally that can be changed by registering in certain yeshivot and then the study exemption can be extended for up to 4 years. with restrictions. For that reason, a person coming due to his bar mitzva will not be given a hard time as long as his stay is not long.