Try some of the daylight corrections. The thing is, discharge lights have some strong peaks in the blue part of the spectrum. Tungsten is very flat. By the time you duplicate the spectrum, you may have to lose 90% or more of your output.
Also remember that you'll be matching the colour temperature when your S4s are at 100%. If you take them down on dimmer, remember that they'll warm right back up.
Besides amber-drift as mentioned above, note also that you'll lose some intensity with a CTBcolor correction filter. Likely not as much as JD suggested--even Lee200 Double CTB has a transmission Value of 10%. But the higher color temperature will make the fixture seem brighter, so it's a wash (unless it's a spot). Mind your mireds.