Leaving PhD for a professional master's program
I have sat on admission committees, taught in professional and graduate programs, and written recommendations for undergraduates, masters, and PhD students to go to professional programs.  That said, my experience is with programs in a business school. Depending on your program of interest, what I say may not be relevant.
For masters programs in a business school, your profile is not unusual. Lots of MBA and business masters programs see people who finished a PhD and then decided they hated it, sometimes after years and sometimes right away. We also see lots of applicants who are giving up on a PhD to pursue an area they now find more interesting.
In my experience, students who did a PhD or left a PhD program tend to fall into one of two camps: excellent students and so-so to poor students. The best bet to separating these groups is motivation.
The students I typically saw do very well were people whose interests shifted, had clearly worked hard before, and were excited about their new area. The people who did not do well were people who had sort of &quot;failed out&quot; of the PhD, had not made progress toward a PhD for years, or were not succeeding at post-PhD work. Often, these students were not excited about the program they applied to; rather, they applied just because they needed a job and this sounded like the way to get one with the least work.
I think your key is making sure your recommendations convey your enthusiasm for the new program -- and to also express that convincingly in your own letter. It may also help if you can use your academic contacts to chat with professors in that program. Your advisor may be helpful... or may abandon you since you are no longer targeting academia. You are probably the best judge of which of those is most likely.
Finally... congratulations for giving thought to whether the PhD is right and healthy for you. I know plenty of people who just pushed through and then ended up repairing the damage that caused with years of therapy.