Why not just use "Detailed List" instead of "Compact Grid" and then you can move the columns wherever you want.
That said, I don't think it looks silly - it doesn't look any different than Google Play Music or Spotify or anything else. Titles Left Justified and Times Right Justified.
Because compact grid is much better looking, to me. The enlarged, bolded album title to the right of the album artwork with chosen subheadings divided by the dot point just below, the tracklist directly following, the distance of the album artwork to the tracks, no column headings getting in the way or seeing cutoff column headings due to a given column's heading being more narrow than the heading text, etc. It's just much cleaner and more attractive to me.
And that may be but it's sort of why I don't use those and got rid of iTunes. Just loved that 'Album and Tracks' layout. I wonder what happened. Was there a MusicBee update recently?