The thing about diabetes, and to an extent insulin resistance is that no two people are exactly the same, so it is important we sort of work things out for ourselves.
I don't mean that to sound unhelpful or rude, but for me, I wasn't particularly large at diagnosis (of T2), but did have love handles and any excess was definitely in my trunk area.
I decided to track my blood sugars, rather than my weight, but I lost weight along the way, to become very trim. In my instance it is difficult to be absolutely sure whether avoiding the foods that sent my blood sugars higher than desirable, or the incidental weight loss was pivotal for me, but my blood sugares remain good and I remain trim.
If you are carrying excess weight, it would likely be overall helpful to lose at least some of that. If nothing else, your joints will thank you in later years!
When I cut the carbs, I didn't concentrate on increasing my fats. I just kept the carbs lower, eat plenty of protein then had incidental fats along the way. My fats generally came, and still do come from fattier cuts of meat, like belly pork, pork in general and chicken always comes with skin (unless cooked in a sauce, when skin can be unpleasant). My steaks generally are well marbled and have a decent fatty edge.
I wonderif maybe tweaking things to have a bit more protein might help fill you up, without leading to a weight gain?
Some of the meds you take may not help your plight, in terms of weight loss, but that would be something to discuss with your relevant doctor. You should not go tweaking your own meds, without their explicit go-ahead and guidance. That could lead to unpleasant outcomes.