I don't think anyone's ignoring the criticisms? I agree that Kamachi's writing is generally pretty bad. If you're going to watch the show, you'll have a lot more fun not complaining about all of these things.
I'm just trying to explain that it's not so completely ridiculously unbelievable as some people are making it out to be. That doesn't mean it's bulletproof though.

You just have to take "Objects are synonymous with war" on the same level as "Academy City is a place where people give drugs to students to make espers". If you deny the basic premise, of course the show doesn't make any sense.

You definitely shouldn't go into Heavy Object thinking "This is going to be a good hard science political war drama".