The main problem here..
Cyclists (non-motor) should be allowed on the pavement. As a former cyclist I say we belong on the road as much as a baby in a pram belongs on the road. I gave up cycling because I felt too exposed, too vulnerable. Having a weak metal frame under my arse with a pair of wheels attached to that offers no real protection.
Cyclists acting inappropriately on a pavement should be prosecuted, the majority are well behaved and should co-exist with pedestrians. If the government wants a healthy active nation it should better consider the needs of those wanting to be healthy and active.