Accepted within what context? People want somewhere to live, stuff to eat, to provide for their families, to belong and to live through shared social values and identities.....
...so in 2012 in the U.K, recognised as a localised point in a wider historical, geographical and social context then yes lots of things are accepted, at least in terms of day to life. This "acceptance" also does have to be looked at in terms of its particular setting and history, so to pick up on the council/social housing thing that JimW mentioned the idea of owning property grounded heavily in neo-liberal ideology has been pushed and forced so as to become the norm and the default.
To then claim that because people need somewhere to live and that this is the way in which it is increasingly brought about through ownerships shows a total acceptance of market values and property in terms of accumulation of assets and financial security completely misses quite a few issues. Significantly, idea of security which you accept, as the need for shelter combined with a need for economic security has emerged through neo-liberal shifts and pressures which actively and aggressively necessitate this shift.
So yes, people want to own a home and have financial security, and that has to be examined within a framework of insecurity and threat, whereby this solution and safeguarding is wrapped up as a response to these problems, whilst also being a symptom of them and the changes they have forced and pushed.
It's pretty amazing you can't see how blinkered your vision is on this. I'm writing this from spain, which is not even that far from the UK and even here your idea of "markets" (and marked-based ownership) existing for hundreds of years doesn't carry any weight, especially when seen as something intrinsic behind the aims and aspirations of the majority of people, or the social values which have bound them together and shaped their lives.