Welfare as you think you know it is practically non-existent today. If you are seriously disabled, in addition to SSI, you might get a small payment from your state or local government.
There are still, of course, subsistence payments to help maintain the children of the impoverished. If you want to take these away, you'd best have a plan ready to go that will maintain these kids.
I can certain question "conservative economics." It's pretty much what has ruined this country and its middle class.