As a Christian, I see two problems: first, the assumption we are supposed to respond to enemies "in kind." It would seem that Jesus speaks directly against this "in kind" response in the Sermon on the Mount, noting in fact that our not responding in kind is exactly how we imitate our Father in heaven. Early Christian martyrs won nonbelievers to Christ precisely through their suffering love; this is why they are seen as so different and so attractive. If there are accounts of Christians being tortured and killed who scream out, "All Christians, respond in kind to my torturers and killers!," we have no record of it. Trump's mindset was certainly not presented as an ideal or example in the early centuries of persecution.
A second problem: the assumption that our politically correct culture is rooted in ideological PC rather than in Christian influence on our culture. There are some forms of PC culture that I don't always agree with (including the PC notion you can't end a sentence with a preposition. I march to the beat of my own drum, you grammar ideologues!). But I think many in America, including non-Christians, have a big problem with torture precisely because of Christianity's influence over the centuries. Christians should not be lured into anti-PC rhetoric that blinds them to how their own convictions have shaped our culture. Nor should they allow an anti-PC ideology to cause them to abandon their Christian principles. If doing the Christian thing--refusing to torture--also happens to be the PC thing (or, to be honest, just a basic human rights thing), Christians should do it and be clear about their specifically Christian reason for doing so.
For more on Christians and torture, see my ThinkChristian article: "For Christians, there is no torture debate."