Strange is solving this the best way he knows how: being obnoxiously blunt. He'll chat up any fae that tails him, stares at him, etc. and basically say that he thinks he knows why people are staring at him, but if they could confirm his thoughts, he'd appreciate it: this is about the Silver Mirror, right?

(As a note, at any given moment, there's a solid 75% chance that Strange wearing the cloak with Ignatius's symbol on it that he got thanks to brainwashing.)