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As in "to process a specimen for mounting." In this case, I think that fully maintaining the metaphor in translation would be overkill, turning it into a conceit, so rather than "history, dissected and mounted for political purposes," I'd write "history, specially processed for political purposes." Or omit "specially" and put "processed" in quotation marks.

N.B. The noun is политика, not политик.

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Note added at 1 hr (2015-09-05 14:49:04 GMT)
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Or, departing farther from the original, you could used "reworked." I think that still preserves the idea of some kind of major surgery, more than merely "rewritten" would.

The exact translation would be "staged," but that would be ambiguous because the author speaks of staging not in the dynamic sense of presenting a performance but in the static sense of presenting a house so it will attract buyers. Fressed up is more understandable than "staged." Embellished, tricked out, and spun are more suggestive of dishonest misrepresentation.

history adulterated in the interests of politics

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Note added at 19 hrs (2015-09-06 08:24:07 GMT)
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refurbish would also fit