political campaign vs crusade

political campaign and crusade both are nouns.

Word	Noun	Adjective	Verb	Adverb
political campaign	Yes	No	No	No
crusade	Yes	No	Yes	No

As nouns, crusade is a hypernym of political campaign; that is, crusade is a word with a broader meaning than political campaign:

political campaign: the campaign of a candidate to be elected
crusade: a series of actions advancing a principle or tending toward a particular end

Other hypernyms of political campaign include campaign, cause, drive, effort, movement.

political campaign (noun)	crusade (noun)
the campaign of a candidate to be elected	a series of actions advancing a principle or tending toward a particular end
a race between candidates for elective office

political campaign (verb)	crusade (verb)
	go on a crusade; fight a holy war
	exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for