Hello good Vogons people! Yesterday I have finalized everything and now it's time to report and thank you. The E8400 processor is in place and working at 3 GHz (sometimes reporting 2Ghz, due to some internal throttling, I guess). I was afraid the system will be too hot, but it turned out, it's actually quite cool: I've set the warning temperature to 60 Celsius in BIOS, and so far that has been only exceeded once, during the very initial XP 32-bit installation. Since then it's mostly around 45 Celsius. I have modified the stock cooler as per your kind advice with a backplate and some car-grade screws from the DIY store) Still this is not the tower cooler, but more of what I've got used to with Mendocino and Tualatin. Although I do not believe it's any good for the 95W system (as advertised), for the 65W E8400 it is so far sufficient and quiet, quieter than my Intel-certified Tualatin cooler was.
The built-in GMA 4500 VGA video turned out to be enough to handle MaxPayne 3 at 800x600 for initial testing. It gave me decent desktop resolutions, but I did not like those VGA ripples, and I have no space for a decent CRT monitor. So I've purchased a new GT710 Gigabyte card, that consumes only 19 watts and is quite silent.
Guess what, one of my brand new 800MHz Pariot DDR2s was bad - not working in any of the 2 DDR2 slots, and constantly restarting the system before POST! I think this was the first memory malfunction that I have ever experienced, and because of this, it took some time to find what was actually wrong. Since the situation has been figured out, I have received full refund from the vendor, and got myself another 800MHz 2Gb Patriot, albeit of a different color and chip length (never imagined the PC2-6400 chips of the same Patriot brand in identical packaging could have had different memory chips inside). Maybe this was because I was picking my crumbles among the lucky left-overs)
Thank you very much for helping me with your kind advice! Special thanks to cyclone3d and shevalier! Like with the above memory malfunction issue, I had no idea the backplate was required for the LGA775 system until you pointed that out for me, gentlemen. Please accept my best gratitude.