I'm just brand new at all this, so maybe not so qualified to offer my advice, but I think my experience is pretty similar to yours, so here goes.
I, too, love fruit and could eats lots of it. But, I also have a very sweet tooth!! So, in the interest of n=1, for 3+ weeks I suspended my fruit consumption in case I was substituting fructose for other sugar cravings. I wanted to re-set myself, as it were. I replaced fruit with sweet veggies, first snap peas (oops, I think they're legumes) then sweet bell peppers, carrots and tomatoes instead. Then I moved onto less sweet veggies like zucchini and mushrooms, then stronger flavoured veggies like asparagus and broccoli.
I am thrilled to report that my 'sweet tooth' must've 'fallen out' - and I've only just re-introduced fruit back into my days, but as condiments instead, and choosing in-season berries and pitted fruits. For example, my current favourite is a big leafy salad topped with veggies du jour, salmon, and 6 or so blackberries (no dressing). Those few berries add such a delightful flavour burst and satisfy me just fine.
To re-iterate what others have wisely posted, fruit isn't necessarily 'bad' for us, but veggies do pack a better nutritional punch and provide better satiety.
I've also learned that a large part of eating wisely is to enjoy what you're eating.
Good luck and have fun going primal
"Unfortunately, humans rely less on instincts and more on culture to determine what they eat" - Marcia Pelchat