Had another crack at this and got it working
Here's the workflow code & output
var moment = System.getModule("com.triangle.util").getMomentInstance();
var momentTZ = System.getModule("com.triangle.util").getMomentTZ(moment);
System.log(moment.locale());
moment.tz.add([
'America/Los_Angeles|PST PDT|80 70|0101|1Lzm0 1zb0 Op0',
'America/New_York|EST EDT|50 40|0101|1Lz50 1zb0 Op0',
'Europe/London|GMT BST BDST|0 -10 -20|0101010101010101010101010101010101010101010101010121212121210101210101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010|-2axa0 Rc0 1fA0 14M0 1fc0 1g00 1co0 1dc0 1co0 1oo0 1400 1dc0 19A0 1io0 1io0 WM0 1o00 14o0 1o00 17c0 1io0 17c0 1fA0 1a00 1lc0 17c0 1io0 17c0 1fA0 1a00 1io0 17c0 1io0 17c0 1fA0 1cM0 1io0 17c0 1fA0 1a00 1io0 17c0 1io0 17c0 1fA0 1a00 1io0 1qM0 Dc0 2Rz0 Dc0 1zc0 Oo0 1zc0 Rc0 1wo0 17c0 1iM0 FA0 xB0 1fA0 1a00 14o0 bb0 LA0 xB0 Rc0 1wo0 11A0 1o00 17c0 1fA0 1a00 1fA0 1cM0 1fA0 1a00 17c0 1fA0 1a00 1io0 17c0 1lc0 17c0 1fA0 1a00 1io0 17c0 1io0 17c0 1fA0 1a00 1a00 1qM0 WM0 1qM0 11A0 1o00 WM0 1qM0 WM0 1qM0 WM0 1qM0 WM0 1tA0 IM0 90o0 U00 1tA0 U00 1tA0 U00 1tA0 U00 1tA0 WM0 1qM0 WM0 1qM0 WM0 1tA0 U00 1tA0 U00 1tA0 11z0 1o00 11A0 1o00 11A0 1o00 11A0 1qM0 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1o00 14o0 1o00 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00 11A0 1qM0 WM0 1qM0 WM0 1qM0 WM0 1qM0 11A0 1o00 11A0 1o00|10e6',
]);
var newYork = moment.tz("2014-06-01 12:00", "America/New_York");
var losAngeles = newYork.clone().tz("America/Los_Angeles");
var london = newYork.clone().tz("Europe/London");
System.log(newYork.format()); // 2014-06-01T12:00:00-04:00
System.log(losAngeles.format()); // 2014-06-01T09:00:00-07:00
System.log(london.format()); // 2014-06-01T17:00:00+01:00
Output in the log trace looks like this

I had to create two actions to house the contents of moment.js and momenttz.js. There is a dependency from TZ so you need both
The action code contains pretty much the exact content of the JS files but with two subtle changes (may not be the absolute best way to do this - perhaps some JS expert can chime in?)
Changed the beginning of the module content to just leverage it as a straight 'Constructor' fuction


At the bottom of the action just return the result calling the constructor function. The TZ action requires a moment instance as a parameter (type is Any). I did the same things to the action for the base momentjs creation
The logging shows the functions look to work OK but as a general way of doing this I'm not sure about the sanity of instantiating the entire object set each and every time you use it. I'm running a single workflow here but on a busy server you might get OutOfMemory errors in the server JVM if lots of workflows use this at the same time
Anyway, as an interesting exercise it was fun :smileyhappy: