The Great Commission for who?

The Evangelical Presbyterian Church has a seven-point statement that they call "Essentials of our Faith." According to their own explanation this is "is an irenic statement of historic evangelicalism. The purpose of "Essentials of Our Faith" is to define core beliefs of the Christian Faith. It expresses historic Christian beliefs common to all true believers and churches throughout the world."

The last point says this: "The Lord Jesus Christ commands all believers to proclaim the Gospel throughout the world and to make disciples of all nations," and it goes on to imply that it is getting this from the Great Commission in Matthew 28:18-20.

I don't write this to pick on the EPC, but to offer it as an instance of the Great Commission being used as an imperative to every Christian everywhere, for all times, to evangelize. It's used that way all the time, as if the mission of every Christian is to go around evangelizing, and if that's not how you spend your days you're in some kind of disobedience.

There is a lot to say about this, but here are just a few things to think about:
1) This commission is given specifically to "the eleven disciples"(v.16). It's a commission to the apostolic "core group," and if we want to understand it as a conscience-binding and immediate command to every regular old Christian today, we need more than just this passage.
2) And on that note, I am not aware of a single imperative in the whole New Testament for regular believers - in the Pauline churches, say - to evangelize their neighbors. It may be taken for granted that they will, or at least that word of their faith and love will spread, but it doesn't seem that evangelizing is some kind of necessary discipline or an integral part of sanctification as far as the NT is concerned.
3) The Great Commission includes the command to baptize. So it's always strange to me that those who would use it to compel lay people to evangelize never encourage them to baptize their converts. Baptism is understood as part of the church's ministry as the church, but for some reason evangelism is taken as the duty of every individual believer.

To build off the Great Commission the idea that "Christ commands all believers to proclaim the gospel throughout the world" seems more than a little irresponsible, especially for a statement claiming to be the "essentials of our faith."