Getting an 1800+ XP to 2.0 GHz depends on a lot more than the temperature of the chip. In general, the overclock is going to depend on 1) the quality of the CPU (most AMD steppings all clock about the same and so stepping rather than initial MHz is a better estimate of overclocability) 2) the voltage you apply to the chip (and the ability to keep the chip cool when you are pumping 2.0V or more through it), and 3) the ability of your components (PSU, mobo, RAM, etc) to handle the overclock. You can unlock the chip if FSB is limiting you.
If you can keep a chip at room temp no matter the heat produces (which isn't actually possible) then you should be able to raise the voltage to an extreme level and overclock pretty high. But with an old 1800+ then it is still unlikey you will hit 2GHz. Example: I have 2 1600+ XPs, an AGKGA stepping and an AGOIA. The AGKGA does 1610MHz watercooled, and the AGOIA does 1900MHz. Both overclocks are pretty typical for their steppings.
Hope that helps.
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