Alright,
Is this what your after??

- angled base.JPG (24.75 KiB) Viewed 37037 times
What I did to create it:
I used your cabinet that you had to make these changes.
The first thing I did to get the full dado on the left side, I had to change it to a blind dado, then go into the construction parameters, changed it to 100% thickness, and then put the placements on the left front and left back to 0". This then gave me the angled front while also being fully dadoed into the left side. I don't have a reason why it won't do this as a full dado, but it works as a blind dado. I'm also not sure why the right inset on the top an deck was needed,

so I removed those to simplify things (and to make it less confusing). It also helped the toe kick to follow the front on the deck better.
To get the face frame on required a little more work; I had to use two cabinets. For the angled one, I removed the face frame and then measured across the angle to determine how long the second cabinet should be (One thing I failed to do with this angled cabinet is to take 3/4" off of the depth to allow the face frame of the cabinet next to it to overhang this cabinet. It's something that can easily be done). I then brought in a second cabinet (STD Base Framless), changed to the width to the previously measured distance, PLUS added to the width to allow enough room for mitering of the face frame (i added 3/8, which was a guess). Then I went into the construction settings, added the face frame, then went through the process of removing the top, removing the left and right ends, removing the back, removing the toe kick (which when you do remove it, make sure the height is set to 4" matching the other cabinet), and removing the deck. When you click OK, this will leave you with just the face frame. Once at this stage, I had to change the height of the cabinet (the one with just the face frame) to 33" (since there is no deck with no bottom inset, It made it 1.5" longer than what it needed to be) and then rotated it to the angle that matched my angled cabinet. (To find the angle, it is s guessing game. For this cabinet example, I rotated it 64.75 degrees). Once rotated, I uses my alignment too and VOILA!!! We have a angeled cabinet with a face frame!!
Now since this is two cabinets that make one, you have to save them as an assembly. I've also Included the assembly so you can look at it as well. If you have any questions about what I described, just send me an email or give me a call, my extension is 337. Hope this helps!
Good luck!