I've been shooting Stock Service Revolver division IDPA matches for a while, and was fortunate enough to win the California championship last year.
Maybe I'm full of ****, but here's my opinion:
Proper bullet selection is critical, as not just anything will do. You want to stay away from plain lead, because the smoke obscures the target too much in fast strings.
You need a jacketed bullet with a pointy round nose. You'll be using speed loaders, and blunt or semi-wadcutters just slow the loading process. You need a bullet profile that jumps into the chamber without any hang-up. Fractions of a second add up fast.
Most "round nose" 158 grain bullets are actually pretty blunt. The 147 grain bullets intended for loading .38 Super's are the ticket. Just make sure you can get them in .357 diameter. Heavier is better, so if you find a 158 or 180 grain bullet with that pointy-round shape, let me know.
The second issue is a powder that doesn't leave unburnt grains in the chambers. The last thing you need is a cartridge that doesn't seat flush that you have to thumb down. Hodgdon Titegroup is my favorite. It burns a little hot, but clean.
Another thing is making sure your sizing die gets rid of that bulge just above the rim. My carbide RCBS dies *don't*, and I had to switch. The bulge makes for a slightly tighter fit that can also hang a cartridge up in a dirty chamber.
And having a nice crimp that doesn't leave a sharp case mouth that hangs up on the chamber mouth edge is important. You should have your chambers mouths chamfered, of course, but every little bit helps.
The last thing is accuracy.
The hard fact is that IDPA revolver division is won on target engagement and transition speed, reloading speed, and only "combat level" accuracy. A guy with a load that shoots into a lazy three inches at twenty-five yards is not handicapped against a guy that shoots ragged one-groups off a bench. Most any load does that. If it's better, great, it's a bonus.