No, just no.
Rei was never DESIGNED to be cute so she technically cannot be considered moe. Sure, there may be people who think she's cute and she may have features that could be considered cute but ultimately that wasn't what she's about. Take Shinobu from Love Hina (never heard of it or her? Tough, she's my example, deal with it), she was designed to be the cute loli/jailbait character of the manga so she would be considered moe even though, if my memory serves me correctly, the term wasn't in use or at least wasn't widely used back when Love Hina was created.
I'm not saying all cute things need to die, just the moe shit thats flowing out like water from a broken faucet. Stuff like Lucky Star, K-On, Moe-tan and basically any of the not decent anime posted on Sankaku Complex. I dont mind cute, but when it's literally being shoved down your throat just so people can get a fuckton of money from it it becomes pretty fucking hard to tolerate it. Another thing, most of the characters are interchangeable. You would hardly notice a difference if you were to transplant a blonde moe whore from one anime to another because there it literally no character design. "Oh hey, lets just change the hair style/colour and eye colour and we're sorted!" No, that doesnt make for a good anime. Fuck off. Yes, I'm well aware hentai does the same but ultimately the goal for hentai is for you to get off on it so who gives a fuck?
I'd continue but I'm afraid my rant would take up several posts worth of text. That and I've got pizza to eat.