Wow, lots of touchy veggies out there, but the OP may not be being that unreasonable - the thing that made me think !?! was that the kids aren't allowed raisins. This indicates an obsessive degree of restriction on the diet, much more than not allowing them meat.
I'm a bit biased on this one. I don't disagree with parents raising their kids veggie, but I do strongly disagree with parents raising their kids on sugar-free, fat-free diets.
This is because, when I was 12, I had to go to the doctors as I was constantly ill and tired. Turned out I had malnutrition, due to my parents obsessive adherence to 'healthy' food guidelines that are aimed at adults. I did eat plenty of (lean) white meat and fish, but I wasn't getting enough fat or natural sugars!
I was very ill for a long time, puberty was delayed and my immune system is still pretty ropey. So no actually, it's not reasonable to ban your kids from eating perfectly healthy foods like raisins because you are obsessive about sugar, any more than it's reasonable to damage your kids with any other weirdo obsessions that have taken over your life. Kids need more fat and a higher calorie intake than adults.
(and I'm not classing vegitarianism with 'weirdo obsessions' before anyone starts...)
I feel bad for my parents, because they were trying hard to do the right thing, but kids aren't adults and they need more carbs, fats and sugar and shouldn't be put on a low-fat, sugar free diet unless they're porky.