If you like, you could use Brid.gy to get comments and reactions back from Twitter with Webmention support for your site. I’ve outlined some of it for how I’m doing it on WordPress, but the idea is very adaptable for any website out there, and there’s a growing list of pre-existing code one could leverage.
(Hint: this also works for other common social platforms which Bridgy supports. As examples, I’ve got two-way communication set up between my site and Github and Mastodon just to name a few, so I don’t need to actively visit those sites on a regular basis. I pipe most of the content into a social reader like Monocle or Indigenous and reply directly from there.)
Webmention can be used as some of the community glue for things you’ve mentioned in your thread as well. As an example, I can post on my website and syndicate that content to IndieWeb.xyz (using Webmention) where others can discover it (perhaps by category) and interact with it using their own websites. If they have Webmention support as well we can have a site to site conversation that could potentially all be mirrored on IndieWeb.xyz which acts as a conversation and discovery hub.
This ecosystem is slowly growing and flourishing, but we still need work on making it all easier and more accessible as well as helping to guard against potential abuses and bad actors to make things safer for bigger public communities at scale. (I notice you’ve got a great site, that touches on and covers some of these topics like security and identity.)