I have to disagree with your assessment, especially because there has been explicit government condemnation of the Gaza war, and/or significant public opinion that views it as a genocide, in several countries with no meaningful connection to the Holocaust (e.g. South Africa, Brazil, Ireland, and of course Palestine itself).
> that is morally equivalent to you fighting a group that slaughtered a thousand of your civilians, raped and kidnapped babies
Public opinion in Western countries does not reject Israel's right to attempt to defeat Hamas. As far as I know, all mainstream Western politicians (perhaps outside of the far left) view Hamas as terrorists and think a military response to the Oct. 7th attacks was justified.
What people disagree about is (1) to what extent Israel has taken actions that harm innocent, non-terrorist civilians (indiscriminate bombing, indefinite air and sea blockade of the Gaza Strip, apartheid-like occupation of the West Bank, etc.) and (2) whether such actions are necessary to ensure safety from terrorists and can therefore be considered justifiable collateral damage.
I appreciate that Israel's supporters would dispute the views of the anti-Israel camp on both of the above points. However, it is not accurate to claim that people equate the bare act of responding militarily to Hamas in a targeted way with genocide.
There are many reasons why using Israel as a scapegoat is useful internationally and it is not contained to european countries with a history of the holocaust (putting aside Ireland's relations with the Nazis)
For a quick understanding of the situation it is easy to see international organizations like the UN human rights council which disproportionally condemn Israel while are free to elect a chair from countries like Iran, whose hobby of hanging gays from cranes is possibly one outlet of adherence to human rights. 174 condemnations for Israel this decade vs 10 for north korea, a country known to operate actual concentration camps
Generally this is a shift from scapegoating jews in national politics to scapegoating Israel in international one, or alternatively to scapegoat internal issues (see corruption cases in Spain, South Africa)
Regarding your opinions about Israel war being indiscriminate towards civilians, I mostly disagree, however this is not my point. My point is not the criticism of the effects of bombing in a dense urban zone (where civilian hostages were taken to, attacks came from, and popularly elected Hamas is entrenched in), but calling such attacks a genocide. These are so hyperbolic that another explanation must be found, and because we have a cultural history that is older than all nations of exactly such allegations, that is the most fitting explanation in my opinion