It's great that you're taking your health so seriously and working so hard to care for your body! As to the question of whether vegetables are important/necessary for health, I found this video <http://tedxtalks.ted.com/video/TEDxIowaCity-Dr-Terry-Wahls-Min> by Dr. Terry Wahls really informative and motivating. She describes how she cured herself of MS by basically eating a paleo diet that included a whole bunch of veggies. She talks about the research on different types of vegetables, why she started eating so many veggies, and how it helped her health. She's very research-based.
About how to get yourself enjoying veggies--my hubby totally wouldn't touch veggies when we first started living together and I made it sort of my personal challenge to see if I could get him to enjoy them. Nowadays (15 years later) he enjoys tons of them. In less than a year, he was enjoying zucchini and spinach.
I started with the zucchini. Initially, I peeled them (gets rid of most of the nutrients, but it was a baby step), chopped them into tiny pieces (like, half-centimeter cubes) and sauteed them with in lots of butter with garlic salt. I picked garlic salt because the flavor is very simple and was something he liked already. This was way before Paleo, so I tossed the little flavored zucchini bits into pasta with parmesan and more butter. You might be able to accomplish the same thing by putting the little bits of veggie into something else that you already like, say cut up bacon or other meat.
I did the same thing with spinach: I cut it really small and put it into sundried tomato pesto, which he already liked, then stirred it into pasta which he was totally into. You might put it on a potato? I knew that all my effort was making a difference when we found ourselves fighting over the last leaves of spinach in the pasta bowl!
I don't know if it will work for you, but it worked for him. Good luck with it!