Well maybe it's not so "random" but they seem to not care much about any innocent bystanders in places they target

It's not random? For the most part they identify targets responsible in some way for the terror attacks. If Hamas fires rockets out of a nursery school or a clinic is Israel supposed to say "Ah gosh...well played Hamas, guess we'll leave it be"? Israel leaves pamphlets, voice messages and then uses a warning system to alert people who are going to be in the vicinity of missile attacks. In which other military conflict has that happened, where one side actually telegraphs its operational actions?
The casualties of Palestinian civilians is horrible, but put some of the blame on Hamas that routinely teach their population that martyrdom is desirable and that after advance warnings of which targets will be hit encourage their civilians to remain in the buildings.
Some people care about Syrian human right violations and war crimes.
But the media and the world is focused on the Gaza strip right now.
This is troubling to me for a couple of reasons. The first is that if there are other war crimes going on, some with higher casualties, why is this one getting preference?
And second, it also means that anybody who uses any argument based on the death toll are doing so to hide their real reasons for criticizing Israel. Because if number of lives lost was all anyone was concerned about the other conflicts mentioned would surely get more attention?
Well at some point the Israelis have to take responsibility for killing so many innocent people. Because ultimately these war crimes are another form of terrorism.
Clearly the medicine (Israeli offensive) is worse than the disease (Hamas rockets) if the medicine is killing hundreds of innocent people.
Again, I find that the emphasis is on completely the wrong party here. While I agree that Israel's methods are heavy handed and amount to war crimes, why is the well-being of Gazan civilians Israel's responsibility? I was under the impression the organization that was
democratically elected to govern the region would be responsible for the safety of its citizens? As opposed to encouraging their citizens to engage in a holy war. If I'm not mistaken teaching your nursery school kids that Jews and Christians are pigs and monkeys taught to walk on their hind legs and are deserving of being murdered also falls under that genocide scales "dehumanization" section.
The disease here is Hamas attempting to kill as many Israelis as they can, again, failure to do so doesn't diminish the fact that the attempts are obvious. Again I'm perplexed as to why a weaker military antagonizing a stronger one and then running to the international community is somehow logical? In 2005 Israel completely withdrew from Gaza and left it under sole Palestinian control, and didn't go back in until their people were attacked. It's through initiating terrorist attacks on Israeli non-military targets that Hamas has made a military engagement necessary, again.
I'm confused as to why Israel is being held to higher standards in this conflict than any other nation state has been in the modern history of war. When I've heard the argument so many times I can only start believing it's to make Israel easier to condemn when they can't live up to these angelic expectations everybody expects them to adhere to while fighting against an organization that exists to kill as many Israelis as it can.
I'm not condoning how Israel is treating Palestinians, they deserve to be tried and punished for that. However, I do condone them engaging Hamas on a military level, although I don't agree with the methods and execution whatsoever. There is no nation state on earth, bar none, that wouldn't respond with force when its civilians are targeted. Even less so when they've set up a system that takes a fraction of their national budget to operate to protect their citizens, and then the attackers further try to circumvent that system.