The views don't matter as much as how strongly they are held.
1. Avoid talking about politics
2. Learn to control your emotions when discussing politics even if you have a strong view.
I think 2 is a better solution otherwise the worse things get the more people will avoid talking about it.
It's worth the effort because, based on your example, if you really cared about the people of Gaza you need to stand up and defend them, not avoid the topic due to how uncomfortable it makes you feel
it might be reasonable if you have personal close links to Gaza (e.g. you are worried about family who live there), but otherwise it OUGHT to be very unusual.
That's another problem with political discussions at work - you're often not sure why someone has a particular beliefs and so it's hard to know whether disagreement will be taken as an abstract difference of opinion or as an attack on their family, friends, or homeland.
"Wait, you don't give a shit if like 10k families are killed?"
"No, no, it's like I don't care from an abstract point of view"