Garrett, there are many things that contribute to a cold weather system. I am afraid that the system you outline is skimpy in every regard for winter nights.
The Conundrum 20 would not work too well at 0F without a lot of help which you seem to have. For 0F you really want between 4-5″ of insulation over you. However you get there… Helios down hooded jacket, MLD Balaclava, WM down pants, GooseFeet socks all contribute to that. But at 10-15F help, that still leaves you slightly short of 0F. Due to drafts, I would say you need at least an additional breathable bivy to elimanate drafts. All quilts have draft problems. I do not usually suggest a quilt for below 20F. I typically use a SS 0, for expecting 0F worst case temps.
As Roger says, the ground insulation is important. There are many ways to hit the 0F. Basically you are looking at a 0F temp which is R8 or R9. I don’t believe your system has enough to meet the 0F criterium. Your stated specs call for around a R5.5. Well balanced for 20F, but a little lacking for less than that. CCF has greater insulating value per inch, but is a lot heavier. Your pad coupled with two thicker CCF pads (say a regular Zrest below and a Zrest Sol above) would be adequate to 0F. You are talking worst case, not sustained 0F temps.
Your tent will work well, provided it can handle snow loads, has a full fabric inner, and is small enough to let you warm it up a bit. Any winds can really make a tent loose heat badly if it is a mesh inner. To large and it will loose heat as quick as you add it (from body heat/breathing.)
Other things can help, like a hot Nalgene, warm rocks from the fire, etc.
Please be aware that 0F can draw heat from your system much more rapidly than in three season temps. Here is a chart https://www.weather.gov/safety/cold-wind-chill-chart Even a light wind of 5-10mph can draw the heat loss temp down to around -10 to -15F, offsetting any warmth you might get from your tent.
So worst case, if you plan on 20F and the night time temps dip down to 0F with the gear you describe, you will survive, but it will not be real comfortable. There is a pretty clear difference for cold weather camping. (70F to 50F is doable easily. 20F to 0F could be a bit trying.) For a lower hard limit with the gear you have, 0F is reasonable. I am assuming you are talking about an average of 20F with a worst case of 0F.
I have taken my old 40F bag down to 20F on a couple occasions and my 20F quilt down to 10F several times. But shooting for 0F with that gear is not high on my “I want to do that” list. While it is possible to boost the performance of the system about 10-20F or more (with a tent and additional clothing,) you are talking the limit of what can be done. Generally speaking, you can get 20F out of most systems with additional “boosters.” But, you will be cutting in to the safety margin. At the limit, you will be out of “Comfortable” trending towards “Survivable”.

