I note you alluded to "some Tories" and "those on the Christian right", and it is important to understand that some Tories don't hold these opinions and there are plenty of Christians who aren't on the right, politically.
I attend a Christian church in South Manchester. We aren't CofE, so we won't be listed by the Diocese of Manchester, but we provide a warm space for people to use in order to save from heating their own homes. We also provide free Wifi, a free meal to anyone who wants one (once a week), free or subsidised food working alongside our local food bank, and refreshments including soup and bread for visitors to our midweek cafe (on a no obligation, voluntary donation basis).
Some of this is funded and provided for by local charities and supermarkets, but the running and heating and lighting is provided by church members, many of whom live on the council estate where the church is, and most of whom are by no means wealthy.
This isn't done to assuage a feeling of guilt, or to affirm our faith per se. There are many verses in the Bible that encourage Christians to carry out charitable works, but all this stems from a heart of genuine concern for the vulnerable and those less fortunate in society.
It's important that we support everyone who gives of their own means, whether financially or in actions, to help those in need.