I believe Evangelicals do have the power to persuade people however they usually hold more sway over the weak minded, which is unfortunate since they are usually quick to ask for donations and tithing at the same time. To me, Evangelicals are less important in today's society where people can easily access information about religion on-line.
The thing is that very passionate people tend to be very persuasive to other human beings. Most, if not all, people are very susceptible to appeals to emotion, and that passion feeds directly into that weakness. That passion comes into their debates, their sermons, and just their everyday lives, and it can be very convincing if you are not totally on your game.
There are people who can be persuaded by someone as an Evangelist. They are more sensationalized and have more flair. That would draw someone who can easily be taken in by that. They speak with authority and captivation and if someone is lost or is someone who can easily be persuaded, then they will start to follow an Evanglist and their beliefs.
Yes, I think that a lot of people are persuaded by evangelicals. Their job is to spread a certain religion out to other people, and they have became very successful at it. They know what buttons to push to make you want to drop everything and join their side and ideas.
Christians do not have the power to persuade people. This is the work of the Holy Spirit throught the christians who preach and share the gospel of Jesus Christ.
John 3:16 - For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.
No, I do not believe that Evangelicals have the power to persuade people, because it is only God and the work of the Holy Spirit that persuade people. The Holy Spirit uses his people to spread the message of God and convince other people to believe. Evangelicals are simply willing to tell other people God's good news.