I really like the way Starvid presented his point, but getting away from my initial positive reaction and reflecting more, your characterization is probably better.

I think I would better phrase my own views as welfare and charity being two parts of a political system that are not necessarily in conflict.  Each countries citizens need to decide within the framework of their own values, culture and society, what level of welfare support should be provided by the state.  and that level should be funded through taxes.  Different people and different countries obviously have different views on this depending on lots of factors--wealth of the country, views on personal responsibility versus family responsibility versus society's responsibility.  For example some of the Asian cultures have strong values around taking care of the elderly at home, and valuing their wisdom, love, and example of the circle of life and its impact on the younger in the family unit.

Once the majority agrees on that view (and surely it will change over time), individuals in the society may feel the bar is set too low, and be williing to contribute individually, or in groups such as churches, to raising the level of support for individuals.  that might be individuals as a whole, or it might be specific groups such as children, or perhaps people with addiction issues, etc.  It might also be that some very wealthy people feel a need to give back to society, and heavily fund programs.  While others with wealth may feel they earned it and they will spend it.

It would seem the two are not incompatible.