Yes, the right is against welfare. It is believed by Christians, that if a man does not work, neither should he eat. (seems pretty logical to me, as food/provisions don't come from nowhere)
There is, however, in christianity, a place for the poor and needy. If you look in the old testament, there was a portion of fields left for aliens, poor, and widows to harvest from. There also was a whole branch of the church devoted to taking care of widows in the New Testament... so I am not sure where you are getting this false information.