I don't personally own a firearm, but my old man and other friends I know do.
This is my impression on and understanding on this: pushing for more restrictions on guns limits the choices and availability on guns that can be bought.
Understanding guns are a hobby to some Americans, and it's sorta like taking out Lamborghini, Porsche, Aston Martin, etc from a new car purchase. Now that you can't own one of those guns (or cars), yet alone probably be able to fire one in your life, would you feel like you were restricted of your freedom?
My personality, personally I wouldn't and would find another gun to get or drop interest in guns altogether. But I can totally see how the enthusiasts would be angry over higher restrictions. It's like you took out the type of ice cream flavors they can try.
So it's a two way road in the end, gun control has its pros and cons like a double edged sword.