First of all, working in a Government field for past 6 years has a different value. It depends on which field in private sector you want to go. Its not impossible that you cannot opt for it, but I would suggest its not going to be a good idea. The environment you were in Government field for past years will be totally changed, if you join private sector.
One thing I can suggest is, if you are able to handle the pressure that private companies have and having potential to cope up with the new generation freshers then you are most welcome. Every things sounds good, but practically you will come to know once you are into then field. So choose wisely.