The requirements of SC2 are128 MB PCIe NVIDIA® GeForce® 6600 GT
My graphics card is GeForce 6150SE nForce 430

I know the card isn't the minimum required, but I've played games with equal requirements relatively well.

I don't know your card, but once I tested SC2 using a GeForce 7050 and it lagged so bad (on lowest settings) that even the commands were delayed. I imagine that it would be as bad using a GeForce FX 6200 too.
Make your conclusion comparing your card to the two I mention.

I was afraid that would happen.
My dreams of playing SC2 are crushed.

Yeah, that's going to be onboard graphics, or even if it is a discrete card, the very worst discrete card you can get. No SC2 for you, at all.

I'm use an 8800 GTX with 768mb memory on 1920x1200 with everything on High (by default) except for textures because you need 1gb of graphics memory for Ultra. Everything is very smooth, haven't noticed any jerks at all.

I do not think that is good enough for starcraft2.
If you don't really have the cash but you have a pci-e slot, you can spring for like Radeon HD 4650 or maybe GeForce GT 240. They cost about 70 dollars.
I would just build a whole new computer seeing as the motherboard sounds like its pretty old.

My budget is one that the only thing I can afford is Starcraft 2. So yeah...
I'm not gonna be playing for a while.

Poor kid.

You're gonna want ram too.
I saw Starcraft 2 using up 1.5GB of memory when i minimized once D: