I think the way it's currently implemented works just fine. It's not cluttering the search experience in its current state.
I also think that making it more visible to the user is a mistake. Influencing your own search results should be a very intentional action because it affects every search in the future. By putting it front and center, it would definitely promote usage, but is that really a good thing? I'm speaking from my own experience, but I like the search results I get even though I've only used up 19/1000 ranked domains. If I go to a website and it turns out to be a site that is generating AI slop, I will intentionally go and block that domain, but that's rare. I honestly don't think the average user would realize just how much influence their upvote/downvote action would have on their search results.
Personalized results are a major feature that makes Kagi stand out. However, you can't forget that the succinct, high quality results that it gives you by default are also a driving factor behind using it.