There's no single answer, because different components overheating would cause different symptoms.
If the CPU overheats, you can expect the system to either shut down or reboot unexpectedly. If the GPU overheats, that's usually when the computer "freezes". Screen appears to lock up, can't move the cursor, etc. If the HDD overheats, then the system will continue to run fine until it needs to get data off the HDD, at which point things will fail and you'll likely get a kernel panic screen.
Ultimately, despite the fact that Apple is putting halfway decent graphics chips into laptops now, people need to come to grips with the fact that they aren't designed for gaming. Just because you CAN do something with a laptop doesn't always mean you SHOULD. I could use my laptop to swat flies for example, but I don't see myself recommending that to anyone at any point in time. Laptops, no matter who makes them, make for very poor gaming platforms. Disposing of waste heat in a confined space like that just creates problems. Most "gaming laptops" are sold to people with more money than sense. They often burn themselves out in 6 months or less.
You want to play SC2, get an iMac, Mac Pro, or a PC to play it on. Leave your MBP for other things.