I am writing this based on books (and research papers) I have read, as I have never been on insulin.
This would be a lot easier with MDI, as you would have more control. Would your GP be willing to switch you to MDI instead of mixed insulin, on the bases it would let you dose for the number of carbs in each meal so give you more flexibility on what you eat? (You don’t have to tell your GP what you are planning to do with the flexibility……)
The current Newcastle diet study has everyone stopping all drugs at the start of the diet, and only restarting if their BG is over 20. If I recall correctly in Fung's book on fasting he talks about people reducing their insulin dose before a fast, letting their BG get close to 10, so they don’t have to correct a hypo while fasting. Hence it seems that the experts are willing for someone to have a higher BG for a short time, so as to allow change.
Remember the aim of fasting is to let your body have/produce as little insulin as possible, so it can use up some of its fat stores, hence remove fat from your liver etc.
I assume you are a true Type2 with your body clearly producing some of its own insulin, and hence there is no risk of DKA. I also assume you have a BG meter, and know how to monitor your BG.
As the greatest risk is overnight, I expecting skipping breakfast and lunch would be a sensible way to start. Maybe reducing the insulin dose the night before and not having any insulin with breakfast, then monitor to see what happens. A high BG while fasting does not mean the fast has failed.
Or go for a 72hr fast, letting your BG get up to just below 10 first (by reducing insulin) and only using a small dose of insulin if your BG gets way out of control, being willing to eat lot of quick acting carbs if your BG gets too low (under 5 if insulin used in last 24hr).
Whatever you do will be taking a risk, as going on as you are now is a long term risk. But fasting while on insulin without a helpful GP is a risk. Personally I think a higher BG in the short term is worth it to reduce the risk of hypos while you are fasting.
-----------
If you had a helpful GP, then SGLT2 inhibitors would be a option to discus with him/her, as they may allow you to come off insulin, and there's no risk of a Hypo directly from there usage. (If used with Inslin, there is stil the risk of the Hypo from insulin.)