About the constant reminding, it's kinda true (even if it's more about the Holocaust being quasi-sacred here) but it's also because WW2 has a enormous part in our history books in school and therefore does the Holocaust. We have classes in 8th or 9th grade which go to Normandy to remember. We also have ones that go to Auschwitz to remember. I think what irks a part of french people is also the fact that the Jewish Genocide is always displayed as the most evil, the most horrendous, the most unhuman event in the World's history (while many other Genocides happened but it's foolish to compare sufferings). But I think it is shown that way because of our shame of the collaboration with the Nazis and their plans to annihilate the Jews. We are also ashamed by 1941 Vichy government when Pétain (a hero of the 14-18 war) basically surrendered to the Nazis and agreed to rule the southern half of France following the enemy's rules. That's why the Holocaust is kind of sacred in our history. It's a response due to our guilt in their past suffering like when a kid injures another, feels guilty and respond by being overly caring. That's what we do with the Jewish community. For example, there is a law which forbids the Holocaust denial and one faces fines if he does so in public.
All of those sound like perfectly good historical reasons to be reminded, at least a little bit.
Having a chapter on WW2 in a textbook isn't really a "constant reminder" of the holocaust. It's a constant reminder of the war itself, of which the holocaust was a nontrivial part. Every nation that was involved in WW2 learns about the Holocaust as a corollary.
Learning about it isn't part of any great conspiracy. It definitely shouldn't "irk" the French, especially if their collaborationist government actually bore some heavy responsibility. At the very least, it should not irk a Frenchman any more than it should irk an American to learn about slavery in the south.
How Jews are discriminated against in relation to other ethnic groups is immaterial.