Now now, no need for that. The OP did say our benevolent cosmic being would be making clones, so no reason there couldn’t be a Drew for each of us 
And now I wonder if I could request two Drews for myself…
Five years ago, I’d have gone with Molly Ringwald, but having rediscovered a young Myrna Loy, it’s a no brainer, she is absolutely beautiful:
Can we add who our gay or straight alter ego would choose? Because I am unimaginatively straight, but if I were a lesbian, I would absolutely pick either Susan Sarandon or Jodie Foster (both of whom have been mentioned upthread).
If I were gay, I’d choose Brad Pitt.
If I were a lesbian, I’d pick Kate Winslet or Emma Stone. Mila Kunis could watch if she likes. 
Greedy!
And now that I’ve dragged myself into this thread, I may as well add Tina Fey to the list.
If I were a collie, I’d choose Lassie…hubba, hubba…
Everyone knows who I’d pick. But only if she told me what name to call her. Constantly refering to initials just isn’t sexy enough. For her, at least. 
And how she likes her coffee. ( Latte, no sweet? )
Mary Tyler Moore, circa 1962.
I would have posted sooner, but even for a 17 year old waking up with Christina Hendricks and Zooey Deschanel alongside you in bed is pretty exhausting. Now where the heck did I leave the time machine?
If that’s acceptable I’ll line up for Cyd Charisse.
Either Julian Sands or Jeremy Irons. Or Alan Rickman a few years ago (hell, even Alan Rickman now wouldn’t be bad!)
Alice Cooper from the 90s…hmm…faithfool’s post got me thinking. Not sure, but definitely a possibility.
My lesbian alter-ego’s choice: easy-peasy. Annie Lennox done up like she was in the “Sweet Dreams (Are Made of This)” video. I still have a crush on her. Second choice: Julie Andrews from “Victor/Victoria.” (Apparently I have a thing for androgynous drag kings. Go figure. P)
Elizabeth Montgomery, in her Bewitched days.
Elisabeth Shue, in her Karate Kid / Adventures in Babysitting days.
Sigourney Weaver, in her Alien / Ghostbuster days.
And if I could have all three at once, the entity could invite his buddies, pull up chairs around the bed, eat popcorn and offer suggestions and encouragement.
It’s always been Alan Rickman for me.
I saw Alan up close two weeks ago. He spoke to me and signed my playbill. I would have jumped him right then and there if I could have gotten away with it. Sadly my husband and son, and dozens of other theater goers were also there. <sigh>
Wow. You have amazing restraint, Rhiannon!
Mmmmm. 90s era Alice? Yes, please. He could’ve definitely shown me how his Love is a Loaded Gun.
Or how to Feed his Frankenstein?
Sandra Bullock from whenever Demolition Man came out. Yum.
Or Eliza Dushku from whenever New Guy came out. Double Yum. Especially the scene with the blow pop.
Bwahahaha! You know, we could undoubtedly keep this up all day… 