I am in NJ also, Z6. Last year was my figs first winter. What you have described is probably fine, but I would avoid straw - it holds moisture too well. My protection was a bit involved, but it worked well. My tree was about 3 feet tall, pruned as a standard. This is what I did:
Step 1 - mound mulch about 6 inches up. Get tar paper and put that over the mulch (cut a slit in a large square of paper and place around the trunk, flat on the ground.). In theory the tar paper can help to keep water out of the enclosure, from wicking up.
Step 2 - wrap tree with burlap. then tar paper around the burlap. tarpaper is good stuff, and cheap
step 3 - wrap that with plastic/tarp. Put a bucket or some coverage on top to keep moisture out.
step 4 - put a wire cage around everything about a foot or so larger. Fill the gap between the wrapped tree and cage with leaves.
I think the leaves act as a buffer from keeping the plastic from heating up too much int the sun, or too cold in the wind. However, I dont think leaves right around the tree would be good, because they could cause rot. So, its kind of 2 walls of protection! I'll prob do something similar again this year, but now I have an addl 3 ft of tree to work with!
It may be a bit overboard for a 6b. There are figs all over by me, some protected some not. Most that are protected get some sort of tarp treatment. Most that arent suffer ~half dieback, and are cutback and grow back strong in the spring anyway.