What kind of projector are you building?
Short answer NO using LEDs are not a good idea especially the type you linked to.
They are 5 to 25 lumens each. A 400W bulb is 4000+ lumens. So you need 160 to 800 of those LEDs to match the brightness.
5mm/10mm LEDs have trouble getting rid of heat so some will die very fast if you drive them hard for maximum brightness.
SSC-P7 & Cree MCE can give you about 700-800 lumens if heatsinked properly and driven hard. But to avoid problems in long term use it might be advisable to run them no more than 350 mA per die or 1.4A at 3.6V (the MCE can also do 700 mA at 7.2V or 350 mA) giving you ~440 lumens. You still need 9 or 10 to match a 400W bulb. An 3x3 array of LEDs will not focus well from a projectors lens.
If you can live with a dimmer projector (darkened room, small screen) you can use a single P7 or MCE or even the single die P4 or XRE (dimmer still but easier to focus / less artifacts)
Here is a sample of a commercial LED projector.
https://www.candlepowerforums.com/threads/212691
The other problem with LEDs is colour rendition.
Normal LEDs are very strong in blue with green & yellow. Purple cyan orange and red are weak. This gives it a very strong blue tint.
An incandescent bulb is weak in blue more cyan and green and strong in yellow orange and red. This gives it a very strong warm (yellow through red) tint.
Sunlight is weak in blue more cyan and strong in green yellow orange and red. This gives a neutral white tint.
There are high CRI LEDs that more closely match sunlight. The Nichia 083 used in the Sundrop for example.
https://www.candlepowerforums.com/threads/199058
There are other threads in the McGizmo subforum about that LED. Also contact McGizmo about how to get the LED.
A less expensive LED is the Cree Q2/Q3 5A. Not as wide a spectrum as the high CRI LEDs but at least have the proper amount (less) of blue.
https://www.candlepowerforums.com/threads/211450