Synonyms for Sweep Up (same or very similar meaning)
WordNet sense 1 (force into some kind of situation, condition, or course of action):
drag, embroil, sweep, tangle, drag inWordNet sense 2 (take up the cause, ideology, practice, method, of someone and use it as one's own):
adopt, embrace, espouseFrom the ODE community, based on WordNetadd/edit