This is a really good post on Christchurch’s future cycling infrastructure. I don’t have a huge amount to add to it, but would suggest you read it, if you prefer your cycling analysis to be backed up by research rather than based on wild speculation and grudges against bikes:

Even if the costs have blown out to ~$160 million, a quick calculation shows that the Benefit/Cost Ratio of the total cycleway programme in Christchurch is conservatively at 7:1 – a pretty good business case in most people’s eyes … Just for comparison, the much-vaunted Southern Motorway extension ended up costing $140 million for a projected Benefit/Cost Ratio of about 2.4:1