Nah, it's not the DTD Calculator glitching. The 23.98... value is based on the DTD itself, (my pocket calculator gets the same thing) so either the Intel graphics can't get closer than that (which seems odd, but I'll let it go for now) or your projector is misreporting.
Let's assume it's the Intel drivers for now; what if you try to tweak the first value in the DTD up and down a bit? That should alter the pixel clock slightly and you should see a refresh rate impact at your projector. Alternatively, you could try one of the following:
# 1920x1080p @ 23.976Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.175 1920 2558 2602 2750 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 24Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.250 1920 2558 2602 2750 1080 1084 1089 1125 +hsync +vsync
Originally I went with timings borrowed from Powerstrip calculations when specifying the DTDs for DTDCalculator, but the other night I dug through the actual EIA-861B spec and found that the Powerstrip timings were slightly innaccurate-- given the particular way in which they were inaccurate, it appears this was done purposely to cope with older graphics cards' requirement that all horizontal values be modulo-8. For instance, Powerstrip 24p is:
Linux modeline parameters:
"1920x1080" 74.250 1920 2560 2608 2752 1080 1084 1089 1125 +hsync +vsync
The differences are slight, but they change the computation enough to make a difference. Give my new values a shot. Wo0zy, I should have sent these to you to include in the new modelines.txt file, sorry I didn't.

Friend in from out of town, other stuff on my mind. Heck, might as well post them some people can patch their own modelines.txt file themselves:
# 1920x1080p @ 59.94Hz (EIA/CEA-861B)
ModeLine "1920x1080" 148.350 1920 2008 2052 2200 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 60Hz (EIA/CEA-861B)
ModeLine "1920x1080" 148.500 1920 2008 2052 2200 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 50Hz (EIA/CEA-861B)
ModeLine "1920x1080" 148.500 1920 2448 2492 2640 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 23.976Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.175 1920 2558 2602 2750 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 24Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.250 1920 2558 2602 2750 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 25Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.250 1920 2448 2492 2640 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 29.97Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.175 1920 2008 2052 2200 1080 1084 1089 1125 +hsync +vsync
# 1920x1080p @ 30Hz (EIA/CEA-861B)
ModeLine "1920x1080" 74.250 1920 2008 2052 2200 1080 1084 1089 1125 +hsync +vsync
# 1920x1080i @ 59.94Hz (EIA/CEA-861B)
Modeline "1920x1080" 74.175 1920 2008 2052 2200 1080 1085 1095 1125 +hsync +vsync Interlace
# 1920x1080i @ 60Hz (EIA/CEA-861B)
Modeline "1920x1080" 74.250 1920 2008 2052 2200 1080 1085 1095 1125 +hsync +vsync Interlace
# 1920x1080i @ 50Hz (EIA/CEA-861B)
Modeline "1920x1080" 74.250 1920 2448 2492 2640 1080 1085 1095 1125 +hsync +vsync Interlace
# 1280x720p @ 59.94Hz (EIA/CEA-861B)
ModeLine "1280x720" 74.175 1280 1390 1430 1650 720 725 730 750 +hsync +vsync
# 1280x720p @ 60Hz (EIA/CEA-861B)
ModeLine "1280x720" 74.250 1280 1390 1430 1650 720 725 730 750 +hsync +vsync
# 1280x720p @ 50Hz (EIA/CEA-861B)
ModeLine "1280x720" 74.250 1280 1720 1760 1980 720 725 730 750 +hsync +vsync
# 1440x576p @ 50Hz (EIA/CEA-861B)
ModeLine "1440x576" 54.000 1440 1464 1592 1728 576 581 586 625 -hsync +vsync
# 1440x576i @ 50Hz (EIA/CEA-861B)
ModeLine "1440x576" 27.000 1440 1464 1590 1728 576 581 587 625 -hsync -vsync Interlace
# 720x576p @ 50Hz (EIA/CEA-861B)
ModeLine "720x576" 27.000 720 732 796 864 576 581 586 625 -hsync -vsync
# 1440x480p @ 59.94Hz (EIA/CEA-861B)
ModeLine "1440x480" 54.000 1440 1472 1596 1716 480 489 495 525 -hsync -vsync
# 1440x480p @ 60Hz (EIA/CEA-861B)
ModeLine "1440x480" 54.054 1440 1472 1596 1716 480 489 495 525 -hsync -vsync
# 1440x480i @ 59.94Hz (EIA/CEA-861B)
ModeLine "1440x480" 27.000 1440 1478 1602 1716 480 489 495 525 -hsync -vsync Interlace
# 1440x480i @ 60Hz (EIA/CEA-861B)
ModeLine "1440x480" 27.027 1440 1478 1602 1716 480 489 495 525 -hsync -vsync Interlace
# 720x480p @ 60Hz (EIA/CEA-861B)
ModeLine "720x480" 27.027 720 736 798 858 480 489 495 525 -hsync -vsync
# 720x480p @ 59.94Hz (EIA/CEA-861B)
ModeLine "720x480" 27.000 720 736 798 858 480 489 495 525 -hsync -vsync
# 640x480p @ 60Hz (EIA/CEA-861B)
ModeLine "640x480" 25.2 640 656 752 800 480 490 492 525 -hsync -vsync
# 640x480p @ 59.94Hz (EIA/CEA-861B)
ModeLine "640x480" 25.175 640 656 752 800 480 490 492 525 -hsync -vsync
That's as near as I can get-- they are directly from the spec. I am concerned with the 1080i stuff since I'm not sure how the drivers will react to an odd number of vertical lines in an interlaced rez (the standard Intel DTDs included with the driver drop to 1124 total lines-- perhaps there's a reason for this), but it's worth a shot.