If you are referring to the risk posed by people who cycle whilst drunk, then simply put if someone is caught cycling in a way that poses danger to themselves or anyone else, then they should be treated in the same way as a driver who is driving dangerously.You haven't answered the question...
What do you say the government should do about the risk to people's health posed by them cycling while drunk?
The point I'm making here is that we shouldn't be actively encouraging people to cycle whilst under the influence, and discouraging public transport use for 'non essential' reasons whilst installing cycle racks in public houses is, in my opinion, doing this.
The solution is simple, if you want to install cycle racks in pubs for those who are not planning on becoming heavily drunk then this is positive, but if we do so whilst restricting public transport use then this is going to make people cycle whilst under the influence.