No... I will not vote for Rudy Giuliani under any circumstances. I believe electing a liberal Democrat will be horrible for the country. However, electing a liberal Republican is horrible for the country and destroys any chance of a Conservative agenda having success with either party. I second what Ingar said. It bears repeating.
May I add, electing a liberal RINO muddies the political water to the point that the general population cannot differentiate between what a Republican stands for and what a Democrat stands for.