According to the Pew Research Center, about 22% of Democrats have received federal food stamps at some juncture in their lives. For Republicans, it's about 10%. Among Independents, 17% have received food stamps at some point.
All total, about 18% of Americans have participated in the food stamps program.
While in terms of party affiliation, participation rates were significantly different, in terms of political ideology, there was no significant difference. Among liberals, conservatives, and moderates each group had 17% indicating participation in the food stamp program.
Pewresearch.org: Food Stamps Political Demographics