It wont work. Despite all the best intentions, people are ultimately self serving and will do what is best for themselves.
If the wife is pregnant, and their dream house comes along and they need somewhere to house their new family, no amount of "pledges" to not buy will stop them forking out cash to do the right thing by themselves.
The strike is driven by a bunch of bleeding heart attention seekers pushing their own agenda. Tugging on the heardstrings of FHB's is an easy way to be heard.