This site started out as Moderators.SE and then broadened its scope a few months into beta. I think we are still recovering from that; the original scope was too narrow and failed to attract (or keep) enough people, and the broader scope hasn't "gotten out there" yet. We've attempted some advertisingattempted some advertising and need to do more of that; we seem to have a shortage of people with the skills to make ads, though maybe somebody can do something with these easier, targeted onesthese easier, targeted ones.
While some of the questions are about SE sites, they aren't all suitable for MSE IMO. I ask network-specific questions there; I ask questions about the community aspect here, now that this site exists.
I'm not all that familiar with Webmasters, but I don't think a lot of our questions would really be suitable there.
But even if some of our questions could migrate to other sites, they all belong here and I think it's premature to talk about dismantling this community. Especially considering the scope change we have not been in beta all that long. Stack Exchange generally gives betas plenty of time to try; they haven't even shut down Beer yet after more than a year, and they have 353 questions in 425 days with very little meta activity.
It's not time to give up; it's time to infuse some new activity into the site. How do we do that? There are questions about advertising and about topic challenges already; think about what else we can do and ask about (or propose) it on meta. Instead of giving up, let's figure out what we need to do to improve things.