Yes this is what they are called and from what I have read they hold to the 5 points as well as all the sign gifts.
Not certain on their Eschatology.
Agreed.
I may have spoken out of turn about New Calvinism. I read several articles on it and it is extremely hard to pin down. I suppose it is whatever it is in any given congregation. And it has changed from its "inception" in the 1980's.
I was most shocked to see big names attached to it, the names whose books I began studying when I was first introduced to Reformed theology. Sproul, MacArthur, Piper. In all my reading, and in all the videos of Sproul and Voddie, and a few others, I have never once heard the phrase New Calvinism mentioned. Just plain Calvinism or Reformed.
In the articles I read, when these names were mentioned as part of that movement, it was in connection with the vast number of books coming out and the use of the internet in spreading the C/A teachings. And this was being related in connection with the time of silence that occurred since the time Calvinism was declared dead in Finney's day and in large part to his efforts. All we had were the ancient writers on the subject, and few, me included, had any inclination or patience, to struggle through the antiquated language, and thorough, densely articulated, alien and seemingly irrelevant in our day, expositions of the Word.
I am taking the reference to be related to a reviving, in modern language, in practical applicable, way through the use of books, social media, the internet in general, that revived the thought to be dead Calvinism. That was the "new" part of it. A deliberate effort was made to bring Calvinism, and in particular, the Doctrines of Grace, back into the light. The effort was successful. Churches against Calvinism began to actively teach about it in the negative fashion of emotional reactions rather than any biblical examination, and that is what we see parroted on forums. I learned this, as did my brother who introduced me to it, after someone had introduced it to him, when I attempted to discuss it with some of the Arminianists I knew. At that time, this "new" approach had been going on for about twenty years already.
Those R/C institutions that did exist prior to the '80's had often backed away from their own roots, and were in many if not most, sterile and stuffy, and dead. That is what opened the way for the surge in non-denomination Charismatic churches. They were "alive"!
So I would say it was a resuscitation of Calvinism and not a New Calvinism. The word is misused and misleading. At this point in time, the New Calvinism is fractured and weak because they lost sight of the goal. And the idea of including the sign gifts as normal for the church, in some, if not all, churches associated with New Calvinism, was a door that should have been left shut and locked. And though MacArthur is known as a part of New Calvinism---at least in every article I read---I know he would not tolerate it in his church. Ever read his book "Charismatic Chaos"? Voddie wouldn't either. The displays we see in Charismatic churches would be shut down if they occurred in a church he was pastoring.
So what it means when it makes the purpose statement of adapting Calvinism to modern and cultural norms, at least in its original intent, is not bringing the inherrantly sinful aspects of culture that God in the Bible forbids ( same sex marriage, acceptance of "God loves gays", etc), but making use of modern and culturally normal means of communication in getting out the DoG, and the traditional, not new, Calvinism/Reformed. But the statement itself is very unclear and is ambiguous. It took me reading various articles on New Calvinism to connect those dots.
