Should convicted felons be allowed to buy and own firearms?

I'm looking for the opinions of gun rights activists. The second amendment doesn't restrict gun ownership to anyone, but do you really want convicted murders and rapists and mentally unstable people to be able to have guns?
Update: I am not anti-gun, and this question is not designed with the intent to offend anyone. I am a student studying the constitution and comparing current laws with the rights outlined in it. I am simply trying to compare the laws, the rights, and people's opinions in the matter of gun control.
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