Good luck with that, Article 7 of the Swiss Federal Act on International Mutual Assistance in Criminal Matters states that Swiss citizens may not be extradited to a foreign country without their written consent. This protection of citizens from extradition is a longstanding tradition in Swiss law.
Yes but there are cases where the accused may not even be a citizen. Also Switzerland still has a provision with other countries for allowing Swiss citizens to be tried in Switzerland for crimes committed abroad.