I don't think you'd have to go that far... really. The only "reason" opponents of cycling have anything to say at all is due to their perception that the roads belong to cars. Fix the roads in such a way so that cyclists are "out of the way" and add paths where possible... and I believe most of the noise from those opponents of cycling would go away... but as long as a few cyclists are trying to share high speed arterial roads... there will be noisy opponents to cycling.

So it isn't so much as "stopping cycling" as it is "putting cycling in it's own place." (no doubt that will smack of heavy segregation to some here)

But really there are places where such separation works... there just isn't the "will" to do so in automotive-centric US of A. ("drill baby drill")