<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />From the Correlations table in a Multivariate analysis I can right click and "Make into Data Table". (This makes a new table of the r values.) Using a JMP script, how can I get that correlation table of r values?

The trick is to find the right item in the display tree to send the message "Make into Data Table" to. If unknown, it is a good to begin with right-clicking on an outline box and select Edit ->Show Tree Structure. The tree structure often clearly reveals how deep one must traverse to find the target display box.
A Multivariate example:
Names Default To Here(1);
dt = Open("$SAMPLE_DATA/Big Class.jmp");
mv = dt << Multivariate(Y(:height, :weight));
Report(mv)[Outline Box("Correlations")][1, 1] << make into data table;