I agree with the confidence, but I would disclose your stutter regardless. You can show confidence while disclosing. IF you do end up stuttering during the interview, there will be an awkwardness for the interviewer, and probably you too. Most people don't care, but just aren't sure how to go about the situation. I'd start off with saying you do have a stutter, but it has in no way effected your academic or professional life. I've found it eases the situation for both the interviewer and myself.