Wow, this is an interesting question. My first reaction was: very
smart idea. However, then I gave it some more thought (and I had a
cup of coffee). Note: No, my additional thought does not come with
ominous shark/Jaws music.
Now, first of all, I will date myself: I used computers when they
were completely DOS based. I am old. Some days, I feel older than
dirt or at the very least, that I knew dirt when it was clean. I had
the pleasure of watching the Internet evolve and can remember when
companies didn't even have sites yet; let alone, recognize the value
of registering their own company name. That time passed in the blink
of an eye and it is rare for someone to not have a site or, at the
very least, not appear multiple times when Googled.
I think just "Meevis" would have done because you have identified
the key component of any search for you: your name.
Now, having said all that, do I feel that you have someone stepped
into the realm of tacky? No, I do not. Would I re-order the ".com"
version when this one wears out: probably not; just because I don't
think it is necessary.