Using the term "moderate" is quite confusing because so many people mean different things by it.
However, I have heard people refer to themselves as "moderate Calvinists" meaning that they don't hold to all five points of TULIP.
A true Calvinist holds to all 5 points of TULIP, but they shouldn't be misunderstood with hyper-Calvinists who among other things don't believe in evangelism.
The proclamation of the Gospel is God's means of saving His elect. (Mark. 16:15; Rom. 1:16)

Tom