The PSL doesn't participate in bourgeois elections to win a fucking city council seat. They participate to spread their program and boost membership. But the bulk of their work is in no way electoral, and if you think it is, you really know nothing about them. Even the comrades here who have issues with the PSL leadership acknowledge that. And newsflash: every socialist, anarchist, and communist in a capitalist society, especially the center of capital in the US, has to work in a system designed to fuck them over.
And sure, you can be cynical and sit on your ass and do nothing, which is basically what the splitters are suggesting so I'm not surprised you're on their side. They believe it's hopeless to elevate political consciousness so it shouldn't be done, but this is exactly what Lenin argued against in What is To be Done. You can't expect socialist consciousness to evolve spontaneously out of decaying material conditions, a vanguard party has to put in the work to educate and connect the issues for the working-class. If you don't believe it can come here, that's fine, but get the fuck out of the way so the people out in the streets doing the work can actually get shit accomplished instead of trying to tear things down. And if you disagree with their ML tactics, that's fine too, but it doesn't mean they shouldn't exist. I disagree with the DSA's tactics, but I like that they exist and support their fights and wish for their victories even when I think they're futile. Ae need to fight from every side. This in-fighting people like you do is exactly what the right wants.