Everybody has their own idea on how to handle things, so the advice may be all over the place. Anyway how I would handle it...First if dormant with no leaves, try to keep dormant. My figs right now are in the garage. It is attached. It's is cold in there, but warmer than outside. When dormant they don't need any light. I'm hoping to keep it no colder than 25F in the garage. VDB can take that easy.
I grow all kinds of plants. In ground, in raised beds, and in containers. I have so many containers it has become necessary for me to make my own potting soil. Besides the fact I can make mixes that work perfect with experience. If I had to buy a mix...
For potting mixes many use Pro-Mix. I myself do not like it. Fafards, and Happy Frog companies make a much better well draining potting soil. In a pinch i use these brands.
With what you have the MG soil has fertilizer, which when dormant you really don't want. But if you have to use it mix it perlite and vermiculite. a 3 to 1/2 to 1/2 ratio of soil to vermiculite and perlite. What I would do. I would leave out the rabbit fertilizer till spring. the soil already has fertilizer and you certainly don't want to burn your new plant. By spring the fertilizer will be gone from the soil.
For the cuttings I would go out and buy long fibered sphagnum peat moss. Not the compressed bales, but the longs strained stuff. One package for about 4 bucks. Wet the moss well and ring it out well. Put it in a plastic shoebox sized Tupperware, or you can use a gallon plastic bag. Put the cuttings in there, covered with moss. Rooting hormone could help too. Keep warm about 75F-80F on top of the fridge, heating mat, near a furnace vent etc. Don't cook it!
This vido should help.
https://www.youtube.com/watch?list=PL006C8FFCDC6EA136&v=EXJIDtffrNw