they would have been banned by the previously mentioned legislation.
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As they say, "If we had some ham, we could have hams and eggs. if we had some eggs". No law exists or was passed, only proposed and rejected.
I suppose your hunting does not resemble assault on wildlife, and if an assault weapon is an automatic weapon (hold down the trigger and spray bullets all about), then a bolt action rifle is not an assault weapon.
I am going to say that I do not believe that any of your antique British weaponry is likely to be even on the top 100 of the objectives of the Obama administration. It would make sense to just outlaw magazines of over 10 rounds. I doubt that anyone really needs more than 10 rounds at once for hunting, since deer rarely hide out in trenches or bunkers and shoot back. Mostly, they are unarmed (except for horns and hooves) and when they hear one shot they tend to flee the scene.