How to deal with unnecessary stress introduced by the supervisor? I am doing my PhD in a high prestige UK university. 
I am finishing my second year and I have funding for three years in total. 
I have already two papers finished (pending to be published) and working on two more. 

I like research and I like being pushed to achieve the best I can. What I don't like however is introducing unnecessary stress into my daily life. With this I mean the following: 

I think that it is totally acceptable and expected of me to work overtime when nearing a deadline. Usually the month before a deadline I work 12 hours per day, 6-7 days a week. This is totally fine and to some extent I enjoy it. 

My supervisor is a brilliant researcher. Young and successful in his field with many publications in high prestige venues. However, he's also the classic stereotype of the super-workaholic academic who works 7 days a week, from early in the morning until late at night. 

It's common for him to send messages or emails at 23.00 or during weekends asking for something. This could range from asking to complete a certain task or a simple "What is the status of X?". 

I find this exhausting. To work hard during the week I need to have a "safe space" where I know that I can relax without worrying about work. Otherwise I feel demotivated to work hard. Due to this behavior I have anxiety issues. Recently, after a very stressful period mostly due to work, my hair started falling. This was identified by my GP as "Telogen effluvium". It can happen after very stressful periods. Thankfully it stopped but it's a clear sign that I've been stressing too much. 

Ignoring my emails and messages is not an option for me. The reason is that I know that he genuinely cares about my PhD and many times his messages may be about the changes he has done on my paper. Ignoring this makes me feel ungrateful. 

My most important problem is that, looking back, 70% of the stress introduced by supervisor could have been totally avoided if he could relax a bit. He's micromanaging me and wants to know everything. And many times we could have taken a month more on a project instead of rushing things. 

Moreover, because he's always pressuring me to do as many things as possible as fast as possible, I feel that I cannot do any quality work. I prefer quality for quantity. He's the opposite.  

I have tried to convey my feelings to him multiple times already. He does not seem to get it. Or he may back off for 2-3 weeks and then resumes his previous behavior. In a recent confrontation I mentioned the words "unnecessary stress" and he didn't take it very well. 

Many colleagues have told me that I should be thankful because he's actively working on my PhD while other supervisors are totally absent. I find this unfair. None of the two should be OK. 

Overall I feel burned-out and demotivated. This saddens me because I really like my PhD and research in general. 

However, I don't think I can take this for one more year. 

Question: How to deal with a workaholic supervisor who is introducing unnecessary stress into my daily life?

p.s. It's important to mention that my supervisor probably suffers from anxiety as well. This is somewhat known by his PhD students and he has implied it one or two times.
It is not unreasonable for a supervisor to write emails in the middle of the night. I do it myself, and frequently at that (sometimes because I am honestly just working late, sometimes because I am in a different time zone). However, it is unreasonable to expect immediate response when you do so (more accurately, it is unreasonable to expect immediate response for basically any email, as the medium is fundamentally asynchronous and nobody should expect you to have your email open all the time).

That said, a significant part of the problem also appears to be your own mindset. You can't realistically change when your supervisor sends you work, but you can definitely change when you read it, and when and how you react to it. Just not reading emails in the night is a big start. Many people do it, and you do not need to have a bad conscience when you do it as well. A second part of this is also to not interpret every email as implicitly highest-priority. Try to assess what a realistic timeline for any given work task is - if your supervisor does not specify you don't need to assume it needs to be done next thing in the morning.

One problem that you may face is that you have by now trained your supervisor that you read and react to every email at any point in time. Even if it's unreasonable, it is somewhat understandable that this is by now how your supervisor thinks you work. The most pragmatic way is to change things gradually over time, combined with a non-accusory one-on-one talk with your supervisor that you are unable to deal with your current work mode. Don't use the words "you are stressing me out" or anything else that puts the token and blame on him. Say that you are stressed out and need to change how you work. The goal is not to elicit a different behavior from him (although this may also come out of the meeting as a sideeffect), but to communicate to him how you plan to address your stress-related issues going forward.