Good for you. So, when you find yourself wondering the questions you’re wondering (“Is this really my life right now?”), it would be really (really, really, really–Am I making my point? 
) beneficial for you not to join in on whatever they’re doing to terrorize you.
NO, this isn’t “your life” right now. And I don’t say this to minimize what you’re experiencing. I say this to point out to you that what you’re experiencing–whilst important and grabbing of your attention–isn’t your “life,” just a small piece of a much bigger picture. And, since you’re in the process of moving, it’s a temporary piece of your life. This means, as the wise Persians used to say, this too shall pass.
And, when you think about it.from a rational point of view (and isn’t a little rationality welcome in this situation? 
) this really isn’t about you. This is about this place, the apartment located above a mosque, frequented by your new room-mate and the shopkeeper below. You just happen to be in the wrong place at the wrong time BUT you are taking steps to change that.
I mean, doesn’t it make sense (and isn’t “sense” another wonderful addition to this stew at this time? ) that the reason why they might be doing this is to get you to leave so that one of their buddies from the mosque can move in, in your place, and hang out with them all? (Can you tell I’m in the “isolated experience” camp? What else would it be? Oh, I’m also an Occam’s Razor fan.)
As I said (and, yes, it’s easier to say than to do, but it’s really something I’ll encourage you in; you can do this) don’t join them by terrorizing yourself. Be steadfastly in your own corner. When you start wondering (no matter how justified you might be) start to get into the habit of saying to yourself. “No, I will not terrorize me. What else can this [whatever you’re wondering] be instead?” and talk yourself into that perspective until such time as you can get into a new place even if it’s temporary.
I think a friend above recommended St. Michael’s Sword and I agree. St. Michael is the general of God’s Armies. He’s not one for sitting on a cloud, plucking on a harp and he’s awesome to have on your side.
ETA: St. Michael is super-accessible, even if he’s not part of your practiced tradition. In fact, no one needs the mandala to call upon him (but it’s so cool that we do). You can just call upon him, as simple and plain and straight-from-the-heart as you like. Anything along the lines of “St. Michael, I ask that you walk with me today and protect my person, my possessions and my affairs from all forms of evil–known and unknown to me” or more elaborate, if you wish. He’s there, whether you “feel” him or not.
(im a little lazy so have to get the printout tomorrow)