I just answered this question over on SF and would like to edit the question title to reflect that the OP was asking about OS X.
OS X: setting display resolution and mirroring
Would it be possible to get this permission based on my linked SO account, where I have enough points to do this? I doubt I'm ever going to answer enough sysadmin-y questions on SF to boost my score much above what it is now.
update: the larger question has to do with being able to rely on my reputation from one site to edit on another site. If the sites were totally unrelated (diesel mechanics, cooking, and gardening) I would think "no" is a reasonable answer. For strongly related sites such as these I think the answer might veer more towards "yes."