Yes,I believe your Wife is an Alcoholic or is just about to reach the top of that hill.
Drinking all the time is the give away,have you caught her Drinking in the morning yet,Vodka is the usual choice for that.
I think she is reaching out to you by making the comments she has,sit her down after she has had a big binge and talk it through with her,this may sound a bit cruel but i was most open to talking about my Alcoholism when i felt bad about getting wrecked again.
You need to check your home for hiding places try,washing baskets,back of drawers and cupboards,toilet cisterns and any other places you would not normally put things or go to.
I think she is still in denial and so are you,she is at the stage where she compares herself to her other big drinking friends and deems herself still OK.
The only peace of advise i can offer you at the moment is DO NOT DRINK with her,not ever.
This stage can take years or months to get round arm yourself with as much info on Alcoholism as you can,visit A.A websites,forums and The Big Book online is good.