When the SCOTUS basically amended the Constitution in 2008 to say that the Second Amendment is an individual right, rather than a right to keep a well regulated militia, they specifically exempted their new law from affecting the laws that prohibit ex-felons from possessing a firearm.
To your larger point, every right has a number of exceptions.
You should read the Constitution yourself, then ask. You appear to have jumbled a few concepts together. http://www.archives.gov/exhibits/charters/constitution.html
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When a person becomes a criminal felon convict that person has waived certain inalienable rights of citizenship.
Read the document and you will see how our founding fathers evisioned it would work.
The US Constitution is a wonderfully crafted set of rights and obligations. When a person becomes a felon convict that person omits that part of the obligation of citizenship that enables that person to enjoy the freedoms of democracy.