I use MathType 4.0b and Moodle 1.8 and I just can't copy/paste into Moodle. I get some double spaces that produces some ugly A's.
Besides I get two unwanted lineshifts and also my spaces in text-mode disappears.
So I wrote my own translators to use with Moodle (attached if anyone is interested). One nice thing is the "\displaystyle " in front of all fractions to make the font larger in fractions.
But I would like to know if newer versions of MathType really produces bug-free output to Moodle.