It is a false assumption that there are areas of society protected from capitalism.
There are areas of the economy that do not produce 'surplus-value', but that does not mean they are protected. They have been 'captured' by capitalism, but don't produce capital.
With Covid and vaccines we see that capitalism has captured the government, medicine, and the law to monetize disease. The response to Covid was not to give people life saving medications, but rather to vaccinate everyone.
The military fights wars. These wars occur in non-capitalist countries in order to capture their capital, or to change the flow of capital globally. We may say the military is captured by capitalism and acts on its behalf. We have given 52 Billion in military aid to Ukraine. How is this not capitalism when the Military Industrial Complex is the prime recipient of this money?
Democracy. Do you really think we have a democracy separate from capital? When corporations have captured the very agencies they were meant to regulate. When politicians take millions of dollars from 'special interest groups'. When the will of the people is subverted for the will of large capitalist corporations.
If you want to find the limits of neoliberalism, then you should look not at capitalist production, but rather bureaucratic control of consumption. Here is where capitalism is limited as the state controls free market competition. What limits does the government have in its regulatory control of society? This is the real gauge of neoliberalism.