You seem to be a bit confused about what exactly capitalism is. Capitalism is the ideology of private ownership, specifically with regards to the means of production. It is contrasted with socialism, which is the ideology of public ownership of the means of production.

Capitalism is the ideology that allows for someone to own a factory, for example. It allows for them to possess it, in some nebulous way, and to therefore be entitled to the fruits of labor produced there. Even if they themselves did not work to produce those products. Capitalism is the ideology of private wealth accumulation and the ideology of class. It is the ideology of wealth inequality (as opposed to wealth equality where capital is shared equally among all). It is the ideology that creates markets out of supply and demand, specifically designed to collect as much capital as possible from people seeking products. Capitalism is protected by the state, which creates justifications for its existence and prevents the working class from uprising against capitalists. The state colludes with capitalists. They exchange political power for capitalists' labor power. In this way, any party that is not explicitly anti-capitalist is necessarily pro-capitalist. To allow capitalism to exist is to protect it. In this way, capitalism is not just private ownership itself, but it is also the politics that protects such ownership and the states that choose to allow it.

Contrasted with socialism, the ideology of public ownership. Socialism is the classless ideology. Socialism is social welfare, including ideas like social assistance or UBI. Socialism allows for means of production, like factories, to be publicly and equally owned by all. It allows the fruits of labor produced in those factories to be shared by all. Like capitalism, socialism produces its own political ideologies. Socialism as a state of being requires some form of protection (much of the debate on the left can essentially be seen as "how should we protect an established state of socialism?"). As socialism is classless, and as its production is communal, it is open to encroachment by capitalists who will seek to establish private ownership and markets there. Most agree, some state or state-like entity must be established to protect the socialist society. In this way, any politics that are explicitly anti-capitalist must be socialist.