I've been where your DW is and tbh I could imagine my DH writing a similar post to you a couple of years ago. We've been married for 15 years and there have been a lot of tough things to deal with, so basically we stopped communicating.
We have 2 adopted DDs, 9 and 6 now, and DD1 has very serious anger issues and can turn violent. I've been dealing with horrible memories of the childhood SA that DSis and I went through. We both had young DC and that was the trigger for the memories to come flooding back. We've both been diagnosed as suffering from PTSD and I'm on Sertraline, probably for life.
Like your DW, I've had problems with alcohol, in my case white wine. A couple of years ago it spiralled out of control. I did things that were entirely out of character for a few months, which I won't go into now; I was probably having a kind of breakdown, looking back. It wasn't that I'd stopped loving my DH, I just had nothing left to give. I was able to care for the DDs, we both were, but other than that, I was in a really dark place.
In the end, I was able to pull out of this myself. But I couldn't move on if I didn't confess every to my DH, accepting that he would have every right to give up on me. But he forgave me, knowing what it was really all about and we were able to rebuild our marriage. Things are so much better now.
I think your DW might be in a similar place. I agree with the PP who said that loving her might save this relationship, you've been through so much together after all.
But it's absolutely your decision. What you shouldn't do is just go on like this, being suspicious. You need to have a totally honest conversation with her, preferably with a therapist there (we did), and then you can decide whether whatever it is she's done (and obviously you don't know what she's done) is something you're willing to live with.
If you go on like this, it will be very damaging to your DC, and your relationship will completely break down eventually.
The relationship can be saved, but only if you both want it to. That's why you need a completely honest conversation.