Remind me again, does Quadra Turbo use crystal dome? Have you tried using other cars with Crystal Dome (another Rayfield hypercar or some nomad version of car). Maybe try reloading your save and see if it still happens?
I mean, if we're talking about immersiveness, remember that Rayfield and other cars with crystal dome has no retractable window so... you can't shoot because you can't roll down your window as there is none to open.
But if we're talking in real life, yes it's a bug. The very least they could at least block particular car or inform us to not using cars with crystal dome during Claire's last quest.
Full disclosure, I haven't tried playing that last quest using cars with Crystal Dome so I could be wrong.