DirectX 11: Z-Fighting

Question

I am getting a strange rendering issue.

Here's a video example http://youtu.be/PI7QUDN6AHI

AFAIK I am correctly sending the positions, normals, uv texture coordinates to my shader:

VertexShaderOutput VS(VertexShaderInput pInput)
{
    VertexShaderOutput lOutput;
    lOutput.position = mul(pInput.position, WorldViewProjectionMatrix);
    lOutput.uv = pInput.uv;
    lOutput.normal = mul(pInput.normal, WorldViewProjectionMatrix);
    return lOutput;
}

PixelShaderOutput PS(VertexShaderOutput pInput)
{
    PixelShaderOutput lOutput;
    lOutput.color = ObjTexture.Sample(ObjSamplerState, pInput.uv);
    return lOutput;
}

I have tested different models and this issue seems to arise when there is geometry behind the front facing triangles. I also don't get this problem when I simply return a color back from the pixel shader. The winding and the culling seems to be correct:

FillMode = D3D11_FILL_SOLID;
CullMode = D3D11_CULL_FRONT;
FrontCounterClockwise = false;

I am not sure if this has something to do with the depth buffer? What is likely to cause this problem? How do I fix it?