The short answer is no, they do not. While the Individualist Anarchists and Mutualists (followers of Proudhon) do think that mutual banking is the only sure way of abolishing capitalism, most anarchists do not see mutualism as an end in itself. Few think that capitalism can be reformed away in the manner assumed by Proudhon. Increased access to credit does not address the relations of production and market power which exist within the economy and so any move for financial transformation has to be part of a broader attack on all forms of capitalist social power in order to be both useful and effective (see section B.3.2 for more anarchist views on mutual credit and its uses). So, for most anarchists, it is only in combination with other forms of working class self-activity and self-management that mutualist institutions could play an important role in the class struggle.
By creating a network of mutual banks to aid in creating co-operatives, union organising drives, supporting strikes (either directly by gifts/loans or funding food and other co-operatives which could supply food and other essentials free or at a reduction), mutualism can be used as a means of helping build libertarian alternatives within the capitalist system. Such alternatives, while making life better under the current system, also can play a role in overcoming that system by being a means of aiding those in struggle make ends meet and providing alternative sources of income for black-listed or sacked workers. Thus Bakunin's comments:
"let us co-operate in our common enterprise to make our lives a little bit more supportable and less difficult. Let us, wherever possible, establish producer-consumer co-operatives and mutual credit societies which, though under the present economic conditions they cannot in any real or adequate way free us, are nevertheless important inasmuch they train the workers in the practices of managing the economy and plant the precious seeds for the organisation of the future." [Bakunin on Anarchism, p. 173]
Therefore, while few anarchists think that mutualism would be enough in itself, it can play a role in the class struggle. As a compliment to direct action and workplace and community struggle and organisation, mutualism has an important role in working class self-liberation. For example, community unions (see section J.5.1) could create their own mutual banks and money which could be used to fund co-operatives and support strikes and other forms of social struggle. In this way a healthy communalised co-operative sector could develop within capitalism, overcoming the problems of isolation facing workplace co-operatives (see section J.5.11) as well as providing a firm framework of support for those in struggle.
Moreover, mutual banking can be a way of building upon and strengthening the anarchistic social relations within capitalism. For even under capitalism and statism, there exists extensive mutual aid and, indeed, anarchistic and communistic ways of living. For example, communistic arrangements exist within families, between friends and lovers and within anarchist organisations.
Mutual banking could be a means of creating a bridge between this alternative (gift) "economy" and capitalism. The mutualist alternative economy would help strength communities and bonds of trust between individuals, and this would increase the scope for increasing the scope of the communistic sector as more and more people help each other out without the medium of exchange - in other words, mutualism will help the gift economy that exists within capitalism to grow and develop.