Timeshare a house??? No way. If you don't want a divorce definitely don't make it any easier for her.
Always go with what you are legally entitled to (and more if possible!!! You can always change things later if you want.... but now you need to make this look like a dreary choice for her). Also, make sure you have the best lawyer possible. Someone who specializes in divorce.
If she complains just tell her nicely, "Honey, I'm sorry, but have to follow my attorney's advice. That's what I'm paying for...."
Also, you wrote: >>The challenge I have is that W essentially is saying that "we are the we are, and even though you've made changes at your core you still don't listen/empathize with me<<
You shouldn't be having relationship talk at this point. No relationship talk, no marriage talk, no blame.... give lots and lots of space and talk with your lawyer about the D stuff. If you must talk about something, be very business-like and emotionally detached when discussing it. For the moments when she does approach you to talk about anything definitely listen, listen, listen, reflect back what she says, always agree with her (except on financial or kid stuff), and when you don't agree say, "I hear you."
There is no arriving, ever. It is all a continual becoming.
