What is a fancy word for resistance to change?
An inexorable person is hard-headed and cannot be convinced to change their mind, no matter what.
What is a better word for comparing?
The words collate and contrast are common synonyms of compare. While all three words mean "to set side by side in order to show differences and likenesses," compare implies an aim of showing relative values or excellences by bringing out characteristic qualities whether similar or divergent.