I noticed the Kensai's signature weapon's maximum modifier is determined by his class level, but does that mean his Kensai level, or the class he took before he became a Kensai?
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The term "class level" in the description of any class feature always refers to your level in that class.
So for that feature, it refers to your Kensai level.
His Kensai level. If it meant any other level it would say "character level" or "fighter class levels".