Bro they both use justification from their books to act the way they do. All those religious books are open to interpretation. You may not see them as christian and see them as against the bible, but they will swear until they're blue in the face that they're the real christians and you aren't a real christian. I've seen bible thumping christians say to a mother, who's son was going through mental depression and other mental health problems, that it was her fault because she turned away from jesus and this was a test of her faith.
Having been brought up with muslims and living in a christian country, the rational that both sets of conservatives use for their bigotry against other minorities is exactly the same, the rational they both use as to who is good and who is evil is exactly the same.
I specifically said conservatives. Conservatives have bombed abortion clinics in the US, conservatives have enacted conversion therapy at great mental health harm to the LGQBT community, for same sex marriage we had here, the arguments were now bestiality is going to be accepted and marriage to animals is going to happen which were complete bullshit justifications but again the reasoning is same as mulsim extremists. Bush Jnr said it was holy war against Iraq, there's no difference (to me) from pushing a button for a bomb vs beheading someone. Conservative ones have the same outlook for women as their Islamic conservatives, they're to be subjugated to men but they spin at as a "wholesome family" the way god intended it to be.
There's many more of the ethics and morals that they share. The blood lust is also there against their perceived enemies, it's just that one you have a lone wolf do it vs the other you can sign up to a state sponsored army to go kill the "baddies" in a far away land.
Edit:
One last bit, I think it was Sean Hannity, this was years ago, who went on such a rant about abortions and about a specific Doctor, that a christian conservative, influenced by Hannity's shows, went and killed that Dr, all in the name of protecting god's laws.