Use of "too much" in passive voice verb structure

Usage seems to be the opposite of what your feelings tell you (ngram).

The same results is obtained for "influenced quickly" and "quickly influenced"; only the latter is found (ngram).

"Quickly was influenced" is not found.

There is not really a question of thinking involved, therefore there is no mistake in your thinking. It is rather a matter of apprehension of the language (not comprehension) which does not correspond, here an apprehension of order. It is difficult to say why we sometimes have a different picture from what reality shows things to be; such problems disappear progressively and the judgement becomes dependable in the end. Personally, I wouldn't find that the order you find preferable in the case of the two ngrams is unacceptable, but the order you judge to be incorrect I find normal.