Although the second computer has a NVIDIA GF 6150F graphics engine.
Well, there's your first problem. This (or at least the GF 6150, as the 6150F does not exist) is a fairly old integrated graphics chipset. No wonder the second computer is slow as hell on games. Now about the first computer, I have no idea what the graphics card of the first computer is, but you can't get much worse than the 6150 in terms of performance.
Anyways, just believe when I say the second computer has better graphics.
No, we cannot "just believe" a fact that may hold the key to your issue. Why are you are so hell-bent on assuming the OS is guilty on something that clearly sounds like a simple hardware performance problem? Well, at least, you can troubleshoot that one without buying anything: install XP on the second computer and try. If it runs faster, then it is either the OS or the software that was installed on the computer (verify that it is the OS by installing fresh Vista and trying then). Personally, I doubt the OS would make much of a difference. Sure, it could make the system a bit slower, but there's a huge gap between that and what you describe as "I gotta do everything possible to reduce lag". No properly configured operating system (especially a newer version) would be such a performance black hole.
I'm going to be fair and honest with you - the lack of information in this topic makes it impossible to give a remotely accurate diagnosis and answer to your question. There are many reasons a computer could be slow, and while we can assist you in troubleshooting what the cause is, we cannot do so if you won't tell us your hardware and a rough overview of what software you've got running on your system. We are not psychic and cannot read your mind nor physically access your computer, so you've got to help us out a bit more here. As the saying goes, garbage in, garbage out. And remember, only change one variable at a time, otherwise you'll be going in circles.
If you wish to conclude that the OS is the cause of your performance problems, you are free to do so, but I cannot agree with that conclusion based on the available facts.
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