You will... probably have to get a motherboard with decent quality VRMs and enough phases to support the beastly 130W TDP of your i7-920 (today's i7-2600K has a TDP of 77W, for comparison). Your current DX58SO has a 6+2 phase design, which will be adequate unless you are trying to set overclock records. Your sound card is one of the best integrated audio chipsets out there, by the way, supporting 7.1+2 output with the Realtek ALC889, just about on par with the discrete SoundBlaster Audigy 2 in terms of analog input levels, can be used for some studio recording if you are up to it
it would help if you were a little more specific with "couldn't play well with others"
Chances are, your motherboard is fine.
Choosing a PSU isn't something to be taken lightly... it's the heart of your computer which keeps the blood (electricity) flowing and regulates the flow so your components don't get fried or so that your computer fails to boot (which may be what's happening here.) If anything, save up for a better motherboard and PSU. There's no use in having the greatest, latest technology when it runs unstably.
http://www.jonnyguru.com/modules.php?name=NDReviews&op=Review_Cat&recatnum=13 I strongly recommend this site when it comes to the minute details of PSUs, detailing which brands of capacitors are decent, the soldering jobs on the PCB, whether they actually conform to efficiency specs, how much load will they tolerate on each of their rails, whether or not they have overvolt/current protection, etc.
http://www.extreme.outervision.com/powercalc.jspLet's take a look at your power requirements: X58 + i7-920 + 9800GT(googling around this is the gfx card that your GX440 shipped with) + 2 SATA drives at 95% load, ~=325W. (Minimum recommended power supply with +12 Volt current rating of 26 Amp for the 9800GT.) Actually, I think it is slightly skewed in the direction of extra power because when I pick "High end Desktop", the estimate rises to 349W;
http://www.intel.com/Assets/PDF/designguide/320840.pdf Intel's specs already say the IOH is ~24.1 W on max load. Lower power consumption than you may have thought at the beginning, eh. Pick a power supply with a beefy 12V Rail (since that is what powers your GPU and CPU) is the only advice I have to give in addition to the link above.
Now as for upgrading/replacing your motherboard. Your upgrade paths are limited, the i7-920 is already 2 generations behid Ivy bridge with its 1366 socket. Performance wise, it trades blows with the Phenom II X4 980 BE and is trumped by the i5s of today (which are far more power efficient at 95W.)
http://www.anandtech.com/bench/CPU/2 play around with the price/performance graph here, I find it interesting that you can get the Phenom quad-cores for $30 cheaper than the i3-3220 in some places, for instance, I digress.
Any motherboard/GPU combo of today will support the low requirements that your game has, DirectX 8 is an ancient standard which predates windows XP and meant to be compatible with Windows ME (Over a decade ago!), so I wouldn't worry about that in the slightest. Any onboard graphics will definitely be able to "max out" your game, too. If you're planning to use this to watch movies with postprocessing at high resolutions, anything released around or later than AMD's VLIW5 architecture will be more than sufficient (Radeon HD 6450 is one of the extremely budget cards. the nVidia GT 520 would probably be its counterpart. Note that your old 9800GT is still vastly more powerful than either of these cards, with more than twice the pixel fillrate and thrice the texel fillrate. nVidia's most compelling price/performance ratio cards are still the mid-end ones in my opinion; AMD has a solid grasp on the entry-level with its HD 7750/6670, and nVidia has a hard time pitting its GTX 550Ti against the HD 6850. The GT 640 is overpriced.)
If your motherboard turns out to be nonfunctional, in which case
http://www.gigabyte.com/products/product-page.aspx?pid=3571#ov something like this would be a more than adequate replacement(and X58 was once Intel's flagship chipset, I doubt you'll find good bargains for such motherboards. Keep in mind that you are going to be paying for obsolete, albeit still fully capable tech, two generations behind, again). You can upgrade to the hex-core beast of the i7-980X at max. A better quality PSU will come in handy if you ever plan on upgrading to a better(and probably more power efficient) computer in the future. If you have problems with your onboard sound, e.g. bad sound/noise ratio or high floor noise throw in an SB Audigy 4 into your PCI slot on your motherboard and you'll be good to go...
EDIT: There are modular PSUs, in which case the cables plug in at both ends, both to your motherboard and PSU. Such a feature is usually seen on higher end models. Yes, if your PSU has experienced a voltage surge which overloads its surge capacitors(which surely won't protect against a lightning strike, they're meant to defend against relatively small voltage fluctuations) it will harm your motherboard.
