Why is the right at war with cyclists? We’re not ‘wokerati’ – we’re just trying to get around | Zoe Williams

There's a couple of things at play here:

Where the infra (say it's the road) isn't adequately engineered to accommodate cycling and driving at the same time, it's going to give drivers the experience that the road is a scarce resource and when resources are scarce, some folks are going to think in eliminationist terms (e.g. if those people just didn't exist, everything would be fine) or the part of their brains that descends from people that wiped out competing clans and took their resources rules the moment and they set about violently defending 'their' resources.

The folks most-triggered at being made to share the road with cyclists really do some mental gymnastics to frame it in a way that they're really the victims here and it's cyclists, not the road engineering, that are the problem. Oh, poor me those cyclists don't pay taxes and I subsidize their use of my roads bla bla bla and eventually that comes out in the form of vehicular assault to teach cyclists a lesson to stay off their roads. It's bullshit all the way down of course, but that way they get to feel like the good guys while still bullying and murdering cyclists.

Also, it's not by accident that the 'everything is woke' people are the first to engage in whatever moral panic that's directing political violence at today's boogeyman- whether it's trans people in bathrooms, or gay people generally, or pregnant women that have ideas about bodily autonomy, their targets are always a tiny vulnerable demographic and uniting to put them in their place is an exercise in maintaining or restoring what they think order ought to look like. If they're not putting people into the bottom rung of whatever hierarchy they think they're defending, probably they think it's the end of order or civilization or the like and they've failed in their duties to uphold order. Keeping them agitated about (and acting out about) moral panics is an effective way for lobby groups to pit people against scapegoats to keep their ire focused away from themselves or their patrons.