I contend Sotomayor's position, in which she states the right to bear arms is NOT a fundamental right, is very radical. According to the recent SCOTUS decision in the Heller case, the individual right to keep and bear arms was affirmed.
"Our founding fathers wrote and intended the Second Amendment to be an individual right. The Supreme Court has now acknowledged it. The Second Amendment as an individual right now becomes a real permanent part of American Constitutional law." link
Only a radical activist judge would contend that this right doesn't extend to the states, which is what Sotomayor has said. I'll be willing to wager that 90%+ of the American people would agree that the right to keep and bear arms is a fundamental right guaranteed to all citizens under the constitution, and now SCOTUS has said as much.
Yes, her position is very radical in this instance.
Her racist statement in which she suggested that a person of one ethnic group and gender would be able to render a BETTER decision than a person of another ethnic group and gender is also a very radical position. I feel she should be excluded from consideration because of that statement alone.
It was interesting to see her "confirmation conversion" from a radical left-wing activist judge to a strict constructionist. 
Personally, I think she was being dishonest and simply saying whatever it took to get confirmed. In simple terms, I believe her to be a liar and given that, not fit to be a member of SCOTUS.