Yes, let it replace your blog.
I looked at your blog (assuming you mean this one). I see you do have some minimal ads on it, which you can’t put on Medium at this point. So if that income is meaningful, that may give you pause.
Other than that, bring it over!
Hard to predict what kind of engagement you’ll get. I see you get a few comments on your blog. No idea what kind of readership. As I’m sure you know, nothing on the Internet is guaranteed to get engagement or audience. You have to publish things people are interested in. But your content seems like it would strike a chord with many people. It will probably take some work — just like your blog does — but the chances of getting engagement on Medium, which is a network with millions of readers, is simply much better than a standalone site.
Try it out. (To play with it, you can try importing one of your existing posts.) Let me know how it goes.