Why does that region hate the USA? Maybe because we bombed the shyte out of them on behalf of Israel and Big Oil?
First of all, let's dispel this ridiculous notion that Israel is this amazing little democracy that we support for totally benevolent reasons.
Israel is not a democracy, it is a RADICAL right wing paramilitary "country" that hides behind a perversion of Judaism that is Zionism, a violent, racist settler-colonial ideology.
I'll give you a more accurate reason for the invasion of those countries that you listed:
Syria: is a direct neighbor of Israel that Netanyahu and the Likud (Zionists) have wanted to conquer since the inception of Israel. They had already done it with the illegal Golan Heights annexation and are now taking even more territory in the Southwest while the actual terrorists who our media called "rebels", who were funded by the CIA (look up al-Jolani CIA connections) carve up and destabilize the country further. Additionally, there were plans for a transcontinental oil pipeline from Qatar to Turkey which was proposed in the early 2010s, which the Assad government flatly rejected... *coincidentally* this was when we decided Assad was a boogeyman and set up the false flag gas attacks to have an excuse to wage war on his government.
Libya: Wanted to establish a currency that would compete with the U.S. dollar - the Libyan dinar. Libya was a successful and prosperous nation, the greatest in Africa, and they wanted to provide the African continent with a way to be non-reliant on the U.S. dollar which the United States has weaponized to take control of vast swaths of natural resources in Africa. This one was Israel was less directly involved in, but the United States war machine/economic hitmen/deep state maliciously took over this country and it is now a shadow of what it was 15 years ago.
Because we all know how we "spread democracy" around the world, i.e. covertly conquer and exploit nations as close as Guatemala (Guatemalan genocide) and as far as Iraq (where we killed a million Iraqis and stole their oil). The CIA has staged more than 60 covert coups around the world since the conclusion of World War II. The United States empire is not benevolent. It is the eminence of a dying capitalist machine.
As for the obvious, unquestionable genocide in Gaza - agip, I've never liked you, but even I'm shocked that you deny the genocide that is happening. That is unusual for someone who is more left leaning though not totally unheard of.
You may also want to copy and paste any of these searches into google and investigate some of this for yourself:
Israel sniping children, doctors, journalists and international aid workers
Israel using AI to profile and kill civilians
Israel history of testing weapons on Palestinians to support their arms exportation business
Israel indoctrinating civilians with lies about Palestinians to instill racism and hatred towards them
Israel illegal occupation of Palestine since 1948
Israel illegal blockade and border control of Palestine since 2005
Israel illegal settlements and land theft in the west bank
Israel illegal detentions and rape and torture of prisoners
Israel bombing hospitals, aid convoys, and refugee camps
Israel disallowing journalists, human rights groups and aid convoys to enter the Gaza Strip
Israel having prior knowledge of impending October 7th attacks and moving their military to the other side of the country to allow it to happen, thereby sacrificing their civilians to inflate the attack and have justification to begin the genocide
Israel repeatedly reneging on terms of cease-fire agreements
Israel destruction of arable land, medical and residential infrastructure
Israel perpetrating 9/11 in order to goad the west into attacking their enemies in the Middle East to weaken them, steal more land and ethnically cleanse
Israel attacking the USS Liberty in 1967 to goad the US into war with Egypt
Operation Cast Lead
Gaza Freedom Flotilla
42 kneecaps in one day
Haavara Agreement
Samson Option
Or maybe just go to the @eye.on.palestine instagram account if you want to see videos of IDF soldiers shooting children in the head. Maybe that's what you need to get it.
Israel doesn't even hide that they are trying to conquer the Middle East at this point, proudly displaying their "Greater Israel" icon on the lapels of their terrorist army: