Enlist sympathies, as a phrase, typically means to gather support or assistance from others, often through appealing to their compassion or shared values. Some synonyms for this phrase might include "mobilize empathy," "rally goodwill," "summon compassion," and "garnish support." Other alternatives might include phrases such as "garner allies," "cultivate camaraderie," "incite solidarity," and "ignite fellow feeling." Each of these phrases seeks to convey a similar sentiment: the desire to recruit or gather support from others by appealing to their sense of shared humanity or common purpose. Ultimately, the phrase chosen may depend on the specific context and audience being addressed.