Governments are established by God to serve the purpose of preserving peace and providing for a quiet, that is un-troublesome life for all. The goal of our prayers for our government leaders is that they might attain that goal of government in a godly way. Now considering that we, as followers of Jesus Christ, are called to be different, we might look again at this exhortation to offer prayers. If you consider our leaders, President Bill Clinton, and Minnesota's Governor Jesse Ventura you might be inclined to want to spend your time criticizing them, rather than praying for them. Perhaps there are other leaders for which you find it hard to pray.
Prayers are to be given for all men.
This is something we might find hard to do. Finding that Christians actually consider that certain people are their enemies and would rather harm them than pray for them is most disheartening. It does happen often. Hate is a violation of the spirit of the Fifth Commandment. Rather than hate people, we ought to help and support them in every physical need.