How to deal with an unreasonable reviewer asking to cite irrelevant articles?
From your answer, we can guess that you received a "major revision" decision. In that situation, your job is to modified your manuscript according to the reviewers' comments, not to try to find out who are the reviewers. Taken out of context, the comments you mention do not seem arrogant. Those comments are usual demands from reviewer, but I can't judge, not knowing your work, if they are relevant.

In that context, you deal with those comments like with any other comments:


You accept and make the changes where appropriate.
If the comments are not applicable, you explain why to the editor and let him/her judge.