I too got into the .458 SOCOM because of my love for God's Chosen Sledgehammer, the .45-70. A semi-auto .45-70, what's not to love?
Regarding the use of "button" bullets, I have shot a ton of wide flat nose cast bullets of 300 gr. to 450 gr. weights out of the .458 and while they are not near as wad cutter shaped as what I suspect a 190 gr. Button bullet is, and if I understand the use of the word button correctly, feeding should not be a big problem. To remove any question, would you please say exactly what you mean by a Button Bullet?
You likely will have to cut a half moon out of the front of your magazine and in a worst case, you may have to adjust feed lips to increase the angle to get the bullet a bit higher in the front so it does not hit low on the feed ramp, but feeding is the least concern. I have never fooled with such light bullets in the .458 SOCOM so I really cannot say what powder or load might work, but I suspect Reloader #7 would be a good place to start. H110 tends to like heavy charges and higher pressures to burn clean but so far with my experience with bullets from 250 to 525 gr, Reloader #7 always gives good function and decent velocity.
I assume since you are shooting a cast or PC bullet, you are not really going for high velocity, just a good plinking or small game load? In order to get your rifle to function correctly, I suspect you are going to have to use a hefty charge of powder to get pressures up high enough to function properly, and with that light bullet in a cast or PC bullet, accuracy might not be too good. Only testing will tell. If you have Quick Load, use it. If not, I'd use Reloader #7 load recommendations for a 250 gr. Hornady Monoflex bullet. Start at the mid range of the load table and work up to listed maximum. I suspect by the time you get near max load for a 250 gr. copper bullet, you should be getting results to tell you if you are on the right track. You likely will be able to go a bit above maximum listed for the Monoflex bullet but do so at your own risk.
When loading, make sure you use a good crimp because you do not want that short bullet to be set back into the case.