This has been discussed quite a bit here. At the very least, the power of government should not be behind the no guns signs; the worst that should be able to happen is if they see you carrying they can tell you to leave, and if you don't, you're trespassing. Holding them liable for your security on their premises as well as to and from would be good too.
These signs are posted because some business owners are cattle led by the America-hating bigots of the liberal cult. Sometimes an insurance company is to blame too, as I understand it, or some other entity. These problems could all be fixed by good legislation.
Based on what I've seen on this forum, I'd say most of us here would like the Second Amendment be more completely obeyed by the state of Nebraska, meaning that, among other things, the state removes the power of liberal bigots to disarm those who come into their businesses that are open to the public. For anything like that to happen though we need a higher proportion of loyal Americans in the state legislature. And you my friend are more than welcome to help us work toward that end.