Is there any way to correct this mess ?
Yes, you'll want to correct/edit your tags.
Select all the offending files in the "Tracks" section - one group at a time, of course - right click -> Edit. Click the [...] next to the "Artist" field and delete anyone who doesn't belong on those tracks. When you update, whatever you have entered will be applied to all of the selected tracks.
But, FYI, those are likely singers, producers, mixers, etc who actually do belong to those tracks. Even so, if you don't want them there in the artist browser at the left, delete them.
If it turns out all those artists are correctly associated with the track and you want to retain them, but you still only want to see the album artist in the browser at the left, select "Album Artist" at the top of the left column.
MusicBee reacts to the way you've tagged your files, and it does it very well and in a very thorough fashion. If incorrect data are showing, it's because you've put them there. MB only displays the data that you've attached to your files.