How do I pull data from multiple CSV files?

[#1]

I have some CSV files with identical headers. Is there a fast way to add the data from the newer files into the JMP data set? (Faster than opening the file + copy + paste?) Something which I could save the script and just click the button every time there's a new file? 

[#2]

Try the Multiple File Import (MFI).  On Windows it is available under File > Import Multiple Files, on MacOS is available under File > Open Multiple.  It will save a script to the data table that is generated with the MFI that you could then copy and re-use, and you can also save a script to a script window from the MFI dialog.

[#3]

You can use Multiple File Import for this.  Here is the entry from the Scripting Index on how to use it