I agree with this. I also have kids and would not bring them to a nice restaurant if I wasn't sure they could behave through the entire meal. We did take them to nice places when they were little, but even at 3 & 5 there were made to understand that other diners were trying to have a nice meal so they needed to behave.
The glow of an electronic screen can be very intrusive to other people. I would be quite upset if I was out for a nice dinner and there was a glowing screen at the next table, even with no volume...especially in a place like Narcoosee's.
My advice would be to put them into one of the kids' clubs and have a nice date night with your DH. We used the clubs often when the kids were young. They are safe environments staffed by fun, caring Cast Members. Your kids will probably love having their own special night out.
And now for my own personal rant...not directed at the OP, just at our society...We have, IMO, become far to dependent on electronic entertainment. Kids are not learning how to behave in "fancier" places. If we don't teach them when they are young they will never know. Adults would not bring a DVD player/Gameboy/etc. to dinner with them and so, IMO, kids should not be allowed to either. Kids are far more capable than we often give them credit for. If you set the ground rules up front and stick to them kids will rise to the expectations. Okay, rant over.
OP, I hope you have a wonderful meal with your DH.