I suppose because property values are considered to be more stable than, say, GameStock puts. But you raise a good point, that what we're talking about (really) is a "how we should tax _wealth_" vs "how should we tax _capital gains_".
Capital gains clearly represent a change in your wealth, and are somewhat "income-like". But they also are a persistent thing that you are in control of until the time of sale, and are somewhat "property-like".
It seems plausible that we could come up with a reasonable-scheme for capital gains taxes that manages to accommodate both properties, but I think it'd take a fair amount of consideration to make sure that there aren't nasty edge cases, and the benefits outweigh the additional accounting.
You may have just solidified my opinion against property taxes :)
Seriously, evaluating and setting values for property takes a lot of resources at the city/county level... it would take a massive increase to properly evaluate wealth for taxation, because so much of it is completely intangible and abstract.
Yet property taxes are very common throughout the US. Would you make the same arguments to eliminate property taxes? If not, why are capital gains any different?