Oh yes, the original meaning of "republican", such as the minister of education declaring that showing off your belly button at school doesn't correspond to "republican values" this September. All colonizers and imperialists (with the exception of nazis) denied that they are robbing and enslaving other peoples simply because they want their shit and have the power to do it. No no, they were in fact teaching freedom by shackling and equality by exploiting those "savages". France is no different in this regard.
Seriously, what makes their republicanism different from other Western European bourgeois traditions of thought? How did this manifest?
Maybe in the rebellious nature of the French people? It's clear that all their revolutions were in their own respective times a beacon of progress, but it shouldn't be forgotten that these revolutions were all crushed and what ensued was decades of reaction. The fact that this reaction (starting with Napoleon) frequently paid lip service to this tradition shouldn't deceive you.
While it's true that in the 19th century France had one of the most progressive (ie. bourgeois) forms of government, after WW1 there was a clear positive correlation between backwardness and a proletarian revolution. This republicanism didn't result in more reforms either after WW2, the UK and Sweden did just as well while still being a monarchy.
In the end, we are left with only the famous laïcité. It's true that no Marxist would take a dislike to cleansing the state not just of the dominance the clergy or of any particular religion, but of all religion, keeping it purely a private matter. The thing is: this is not what is happening here. Islam has no political power whatsoever in France if you don't count islamo-leftists such as Mélenchon t. Macron :DDDDDDDDDDDD
and it's practiced by people who frequently face discrimination at the work place and elsewhere. And of course, attacking one religion in particular (in a very cynical way, I'm 100% sure that the guy who stabbed two muslim women after the first terror attack opposed laïcité if he wasn't a religious reactionary outright) and naturally favours others which is the very opposite of secularism.