As a 6' 3" former Marine, what is this bully thing of which you speak?
Backstabbing, conniving, two-faced and several other PHB archetypes I've met in various combinations. But so far, nobody has tried to bully me. Though, about 19 years ago a manager from another line burst into our office and actually started yelling "who's desk do I have to jump on to get some..." I just started laughing at him--a sincere WTH laugh, which worked wonders.
On the other hand, I've also had folks under me with varying degrees of snowflake complex. IT usually meets their fellow line employees at the high stress problem stage. Anyone with a thin skin and low threshold for pressure should probably seek another career path.
Professional tip: the proper response never includes the phrase "...record all future meetings...". A more diplomatic approach (if any) is to apologize for your conduct and ask the individual to make what was just told you clear in an email to ensure you do not deviate from the desired path. Then begin the job search.
To address your original question, ask the folks interviewing you some of exact questions they have asked you, but in the context of the current team. The egomaniacs will fill the interview time responding to your question(s), which is an indicator, but not proof of any bullying propensity.