Lets try to back this up a little to get some ... common ground.
2A = a right. We seem to agree.
Property rights = right of individual to do with their property as they see fit (within reason etc), we seem to agree.
Someone refusing armed persons on their own property. This was the action of the owner of the property and had nothing to do with the gov't. Gov't isn't involved until the property owner exercises their rights.... just as you would with any property rights complaint (trespassing, destruction of property, theft, etc).
LB 335 would now force property owners to give up some of their rights.
Now, lets approach this from a slightly different stand point.
Your vehicle is your property. The contents there-in are your property. Since NE doesn't have 'vehicle is extension of your home' law currently.... you might as well make the vehicle akin to a suitcase.
I take my vehicle/suitcase on to someone else's property. Do they have the right to refuse me to enter their property because they don't like the suitcase ? Yes.
Take this a step further. They are fine with me taking my vehicle/suitcase on to their property. After all, what's wrong with a suitcase ? There are other things that they don't like, and do NOT want on their property.
Do they have the right to search my vehicle/suitcase for things they don't like ? No. Concerning others here who do let people search their vehicle: you're allowing them to (and if you didn't, I imagine you'd get fired heh... was a stipulation of employment no doubt).
If someone happens to see you have unwanted items within your vehicle/suitcase (or a camera happens to be pointed your way etc)... shouldn't they have the right to ask you to leave ? It's their property.
Mostly outside of this discussion, I've heard people make mention that as long as it's kept locked up and out of sight, the weapon is fine and not a problem and none of the other person's business because the vehicle is your property etc. Where this falls apart is that what if you do get caught ? Someone walks by, a camera gets pointed your direction, whatever. You're now known to have something in your vehicle/suitcase which the property owner DOES NOT WANT on their land. Getting caught didn't make it all of the sudden 'wrong' (nor was it 'right' as long as you weren't getting caught).
Lets take this to something a little different. Free speech!
Let's say a 'free speech' version of 335 passed but was a bit broader in scope (just for simplicity).
How would you like for Sen. Ashford to be able to sit in your drive way for however long he wants. You can't ask him to leave just because you have a different political view. The Sen. has a right to free speech, you don't want him there because of his speech... but you are no longer allowed to ask him to leave.
As others have been pointing out -- your employer refusing to allow firearms on their property is their own action and have nothing to do with the gov't.
As others have been pointing out -- don't like employer conditions ? Nothing has required you to stay there in fear of punitive measures (outside of maybe breaking a contract).
So --- how is someone refusing to allow firearms on their property a violation of your own right to self defense ? How is a church asking an atheist to leave a violation of free speech or religion ?
You don't *have* to go there. You *can* go somewhere else.
Is it a major inconvenience to not keep the job ya want ? Darn tootin'.