A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed.
I see no mention of deer, anywhere. miles
And there is NO regulations in Nebraska regarding what rifles you own. Only regarding what you are allowed to hunt deer with.
So.. no infringement on manufacture, purchase or ownership. Simply on use in regards to hunting in the state, which the state has the right to regulate. No different than saying that rifles can't be used during bow season, or that punt guns can't be used for duck or goose hunting.