Is this serious? Name a single gun grabber who isn't extremely in favor of welfare.
Agree, and you could ask the reverse of that question as well:
Name a single politician in favor of govt enforced redistribution of wealth (per Cloward-Piven guaranteed annual income, aka welfare state) who is NOT a gun grabber.
Both issues are about dis-empowering the individual, making individuals more dependent on the govt (income and protection), and thus achieving more complete control of citizens and therefore votes.