I think you can make some simple adjustments. First, stop offering choices that are not healthy. You can also make your own chicken nuggets instead of the processed ones. My son gobbled them up - cut chicken breasts or tenders into nugget-sized pieces, dip in egg and a mix of whole wheat bread crumbs and wheat germ (with any seasonings you like) and quick-fry in olive or canola oil until crisp on the outside, then put on a metal rack on a cookie sheet and bake the rest of the way. Instead of fries, make your own oven friend potatoes with russets or sweet potatoes and a drizzle of oil, plus any seasonings you like (or just plain) - finish in the oven with the chicken nuggets. Noodle soup is fine - just grind up some veggies and put those in. You can also make oven-roasted veggies - carrots, broccoli, cauliflower, etc. There are plenty of recipes with "hidden" veggies - I know Jessica Seinfeld has several cookbooks with spinach, butternut and cauliflower puree that gets added to other things (e.g. mac & cheese). I used to hide all kinds of things in my son's food - falafel is a good one, so are burgers (spinach, onions, carrot shreds, black and refried beans, and more).
Change how you view "dessert" - don't make it about cookies and pie. Serve fruit and maybe some Greek yogurt with a little chocolate sauce on it, or frozen fruit cut up to make a parfait.
A lot of kids have texture issues, and they don't like different foods to "touch" each other - no broccoli cooties on the chicken, you know?
Make a salad bar or a taco bar and let people serve themselves. Make a game out of make-your-own pizza with a green pepper "smile" and sliced meatball "earrings" and a broccoli floret "nose" and cheese "hair".
I've also seen people put an ice cube tray out for the younger children, with the same food as everyone else, but in separate compartments. Think cheese cubes, cut up carrot "coins", cucumber slices, some walnuts or almonds, a spoonful of peanut butter and some apple slices to dip in it, maybe some hummus and some raw green beans to dip, a few pieces of 2 different fruits. In fact, everyone can have the same food, maybe without the ice cube tray - it's still a healthy dinner.
I'd stop the "no dessert" battle - it just sets up the dinner as the "punishment" people have to endure before they get to the good stuff.
The thing is, she can't be kept at the table while she's crying. You have to excuse her from the table but let her just see that she's missing all the fun from everyone else being together. I wouldn't let her watch TV but she can certainly read or do some drawing in the other room. She will eat if she is hungry, so I'm thinking if she's going to bed with no dinner, she's either too tired or already full from something else. Take away the bribery, and take away the drama.
She's getting a payoff from the crying and the drama - so take away the battleground. Make the dinner table the fun and "cool" place to be, and make the meal the meal, not just the precursor to the good stuff. The older kids can have cookies or ice cream after the little one goes to bed, if that's how it has to be.