It would make sense for the French to be partly to blame for that line of thinking.
How do we address the way they perceive things since they have strayed from biblical truth?
tango has a good reply. It is a tough sell. In fact, it's so tough it's impossible. The fact is, we're talking about spiritual matters, and without the Holy Spirit working, none of us see any of this! (So boasting is excluded. Any truth we have, we have been given - it has been revealed to us by the only living, omniscient God.) The epistemology of the Christian is remarkably simple and straight-forward: the Holy Spirit convinces me that the Bible is true. That's it. That's how I know anything. It starts with God, not with me.
While I'm not sure I agree with all of Van Til's apologetics, I do think he's right on one thing: it's not a great idea to "try to find common ground" with the unbeliever. Particularly with critical theory and intersectionality, your common ground is nearly non-existent. Your best bet, I believe, is to stand strong on the Scriptures, and pray that the Holy Spirit will open their eyes.
The trickiest part, in my opinion, is that critical theory and intersectionality don't even use language the same way. They certainly don't care three straws for logic or consistency, so long, involved flights of absolutely correct, sound logic, reasoning from biblical principles, are not likely to catch their fancy.