You could try working your veggies into sauces and creams that are with your other foods. Make smoothies using fruits if you don't like them either. It's hard to hear but you will need to learn to eat them. Honestly once you do it for a while you will lose your taste for the sweet foods and the veggies will taste much better.
I used to hate yogurt, cottage cheese, peaches, peas, and the list goes on. Now I would rather eat any of these foods over something high fat. It's a compromise at first but honestly you can change your taste preferences.