So, "reforming" is quite a loaded term so I wouldn't use it to avoid confusion. One way to explain this is "double system theory", namely the idea that a successful transition between two systems (any kind of system, not just social or political systems) happens only if the dismantling of the old happens in sync with the growth of the new and this growth can fulfill the needs of its participants better than the old. Anything else will eventually fail.
If you build a new system without fueling it with the resources that go to the old, you will be a cathedral in the desert that will eventually be abandoned to return to the old system. A lot of utopian communes and prefigurative politics might fall into this category. Also the idea of building socialism in a single state (the new) without dismantling global power structures that will eventually coup your country.
If you dismantle the old without building the new and therefore fulfilling the needs the old was fulfilling, you will encounter a lot of resistance. These are the forces of reaction during revolutionary struggles, for example, where revolutionary states end up compromising a lot to appease the needs of the population, or get toppled by entrenched interests.
How do you see everyday people participating in this political movement - voting? canvassing? running for office?
Everything goes. Politics must be played with the full deck of cards. Find the points of leverage, understand what's the best form to apply such leverage and go for it. Sometimes voting, sometimes armed struggle, sometimes structure-based organizing. This is a subjective decision that must be done from the inside: this implies that I can speak for my own strategy and the strategy of my orgs, but I must suspend judgement on the strategy of others. No outside means also "no outside of my experience".
I guess you see Mamdani as such an example? Tho I doubt anarchists would reject him just on the grounds of him being a reformist and therefore not valuable to the cause, in my experience any push towards a more socialist society is generally embraced and not rejected no matter where it comes from.
There are for sure a lot of novel elements in Mamdani and in what NYC-DSA is doing, even though they are still a very old-fashioned organization in many regards:
- full embrace of structure-based organizing, which is not new as a practice, but its resurgence often frames this as the primary source of power.
- pragmatic communication
- hostility to purism and sectarianism
- general disengagement with leftist infighting, including their own internal conflict with the national. They go their own way, they use their points of leverage, they lead by example.
Well, the scarcity of results in the last few decades must put forward the idea that whatever has been tried before, didn't work. The new must be new also in the form of a new paradigm, not just a new methodology. Rejecting the old as unfit includes might include also rejecting the old theory, practices and identities.