I did it with my two DD's and it went fine. Although I normally don't do this. I didn't order the 6yr old any lunch. My gut was telling me she would just eat the chips put down in front of us. We normally don't have food like that around the house and I didn't want a fuss at the restaurant.
If memory serves, they don't serve fries, just rice which the 4yr old likes. I also think it wasn't the normal children's menu - hot dog, chicken fingers etc. If you have a picky eater (like I do) I strongly suggest you ask to see the kids menu which they will give you at the hostess stand. Talk it over with your kids to see if they will like it.
They loved the dessert. It was a make your own sundae thing. Ice cream with a bunch of little bowls filled with sprinkles, chocolate sauce. That was fun.
The view is beautiful and it isn't a quiet hush - hush place which is great. Pretty kid friendly.