Your video card drivers may be out of date - can you update them? Wikipedia tells me that the GeForce 6 series should support OpenGL 2.0, but your drivers are only reporting 1.5.3.
Initializing OpenGL graphics device at 1024x768 with 32-bit color...
Initializing WGL...
Requested WGL Video values = R: 8, G: 8, B: 8, depth: 24, stencil: 8, double-buffer: 1
Actual WGL Video values = R: 8, G: 8, B: 8, depth: 24, stencil: 8, double-buffer: 1
OpenGL Vendor : NVIDIA Corporation
OpenGL Renderer : GeForce 6200SE TurboCache(TM)/PCI/SSE2/3DNOW!
OpenGL Version : 1.5.3
...
OpenGL Shading Language version 1.00 NVIDIA via Cg 1.3 compiler is not sufficient to use GLSL mode in FSO. Defaulting to fixed-function renderer.