This is going to be a bold claim but here goes.
This will never work, because it isn't a radical enough departure from Linux.
Linux occupies the bottom of a well in the cartesian space. Any deviation is an uphill battle. You'll die trying to reach escape velocity.
The forcing factors that pull you back down:
1. Battles-testedness. The mainstream Linux distros just have more eyeballs on them. That means your WINE-first distro (which I'll call "Lindows" in honor of the dead OS from 2003) will have bugs that make people consider abandoning the dream and going back to Gnome Fedora.
2. Cool factor. Nobody wants to open up their riced-out Linux laptop in class and have their classmate look over and go "yo this n** running windows 85!" (So, you're going to have to port XMonad to WINE. I don't make the rules!)
3. Kernel churn. People will want to run this thing on their brand-new gaming laptop. That likely means they'll need a recent kernel. And while they "never break userspace" in theory, in practice you'll need a new set of drivers and MESA and other add-ons that WILL breaks things. Especially things like 3D apps running through WINE (not to mention audio). Google can throw engineers at the problem of keeping Chromium working across graphics stacks. But can you?
If you could plant your flag in the dirt and say "we fork here" and make a radical left turn from mainline Linux, and get a cohort of kernel devs and app developers to follow you, you'd have a chance.
Whatever, at least it can be a desktop alternative to GNOME and KDE where you can also run exes.