On September 13, 1969, (according to this document that Jason Smathers has unearthed) Acar Caner, aged 35 (nearly 36), came to America. At that time, his eldest son (Ergun Caner) was only two years old, though nearly three. Both of these dates/ages are based on an assumption that the birthdays we've been given for Acar Caner and Ergun Caner are correct. Furthermore, if the birthday we've been given for Emir Caner is correct (namely August 1970), it would appear that Emir did not come to America as an unborn child.
Also interesting is the fact that Acar Caner appears to have been granted U.S. citizenship on July 13, 1976, and that he claims he was not out of the U.S. for any more than 6 months at a time between then and (apparently) 1980 or 1981.
Another item of note is the fact that Acar Caner apparently changed his name (from Martin to Mehmet or vice versa is a little unclear to me from this document).