YOU SAID:

My name is... well I'm not going to tell you my actual name.

INTO JAPANESE

私の名前は…私の実際の名前を言うつもりはない

BACK INTO ENGLISH

My name is ... I'm not going to say my real name

INTO JAPANESE

私の名前は…私は私の本当の名前を言うつもりはない

BACK INTO ENGLISH

My name is ... I'm not going to say my real name