The problem is that you're proposing a new problem rather than a solution.
Suppose there are two car lanes and they're somewhat congested. You suggest converting one to a bus lane to encourage people to take the bus. The result is to make the remaining car lane disproportionately more congested, because the bus lane gets 10% of people to take the bus and the other car lane is now 105% over capacity instead of 15% over capacity.
Your theory is that this will cause enough people to take the bus to make this problem go away, but that theory only works if it doesn't. If people taking the bus relieves the congestion then the car lane is uncongested and there is no more reason to take the bus.
So let the car lane be interminably congested, you say. Force people to take the bus. Only the bus doesn't service all destinations, or doesn't run there often enough (because if it did it would be empty), so the bus is no option for those people no matter how bad the car traffic gets. At which point they're prepared to boil you alive for making the traffic worse without giving them any viable alternative to it.
You need to make their lives better, not worse, or you can't win.