Great if you want to follow a programme for weight loss and lowering blood sugar levels overall, but as a general guide the idea for diabetes is to shift away from eating foods with high carbs (ie, starches and sugars).
Ironically, for a 'thin' diabetic, fat is no longer the arch enemy it is traditionally held up to be for the rest of the population, so foods like cheese become 'OK'.
However, for those just entering the world of diabetes in the type 2 zone (I'm 'at risk' myself, and now trying to shift myself into 'out of risk' - or, 'less risk' more likely), most of us are here because (sigh) we are carrying too much weight/fat (which was the contributory factor to our being here in the first place).
So we need to be lower carb AND lower cal, at least until we have shed that excess weight. So we do need to keep a wary eye on fat in our diet.
Personally, I've found that the best way to shift away from starch 'filler' carbs (potatoes, bread, etc, the usual suspects alas!) and towards a lot more protein. Protein helps give that feeling of 'fullness' which carbs give, and if combined with a lot more fibrous veg, that can make a meal without starch (no potatoes etc) feel like a 'real' meal.
Those of us with sweet teeth are at risk of finding it hard to cut out things like toast and marmalade, or cake and biscuits, or puddings etc etc. Going more 'cold turkey' is probably the best, if not the easiest, or at least squeezing down and down and down as far as we can bear on 'sweeties' whether it's cake or chocolate or, again, all the usual suspects.
Ironically, one of the things we have to watch now is what fruit we eat, and how much. From being something 'healthy' as far as recommendations are concerned (all that 'five a day' advertising), we now have to pick and choose carefully, as so many fruits have too much sugar in them. 'Safer' fruits are the berries, especially strawberries, but things like bananas and mangoes are risky.
Even more ironically, fruit that we once ate and felt virtuous about, now becomes our 'treat' instead (ie, still better than cake/chocolate etc)
Good luck with it all, but shifting away off starch carbs is an essential part of the 'weight loss for Diabetes' regime.