Meanwhile, some on the right wing in the US are calling for the annihilation of Gaza, and Israel has been indiscriminatly killing Palestinian civilians for a long time. What Hamas did was horrific, but this attack does not exist in a vaccuum, and there are literally mainstream politicians calling for the death of civilians right now
No, they are absolutely pro-Israel, and constantly use their unwavering support for Israel as a bludgeon against their political opponents who have a more nuanced view
In the USA the fascist evangelicals support Israel because the Left Behind novel series posits that the return of Christ rests on all the Jews dying in a war with Russia.
The right in general has always been pro-Isreal, even while being anti-jew in many other contexts. The fact that the far right happens to show up anti-jew in more more contexts doesn't really change that.
Heavy leaning conservatives have always had the ability to hold opposing viewpoints at the same time in a way the left hasn't quite been able to grasp. At least not to that extent. The left can be just as hypocritical, but they tend to tie themselves down a bit by feeling as though they have to be able to somehow explain why their viewpoints don't conflict while the right just changes the subject.
The religious nuts want the jews to completely own Jerusalem because that's a prerequisite for the end of the world. In that instance, they fully support Israel. The far right in general kinda likes Israel because it's a modern ethnostate and apartheid state.
Much of the modern far right are economic right or anti-education right, looking for an authority figure to put them above the other guys. I don't think they care about the end of the world as long as it's at least 2 days after they die and the folks ending the world give them special treatment until that day.
There are non-religious people on the right as well. The far right hate Jewish and Muslim people and are cheering on the conflict without picking a side because they view it as their enemies destroying each other.
The religious evangelical Christian nuts want this because of the "Left Behind" series. The overwhelming majority of Christians are Roman Catholics and do not require the Jews in Israel to die to bring about the second coming.