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You seem to think that the "Objectivist method" is some thing, like an actual sui generis "method," apart from a philosophic explanation of the scientific method of observation and experimentation and why it works. In a sense, we start out from knowing that we have knowledge, we know that we have useful ideas, epistemology is then going back and saying "what was the method that I used and how does that work?" And yeah like Eiuol said, I'm not sure how formal logic and probability theory are opposed to, say, the world of Bacon or Mill or a Rand.

Also, in Rand's epistemology, it's not the sensations that are being conceptually united by the process of reason, one does not experience sensations in most normal circumstances (ie., unless you have diminished mental capacity, are in a sensory deprivation experiment, etc.) The process of integrating sensations into perception is physiological, not rational (as in Kant), one experiences a united perceptual field, rather than sensations. The process of reason proceeds, under this theory, by abstracting from the field of perception, and then integrating the units conceptually as you described.