Hi, I'm back !
The problem is that CBOX is using a class named column as i do in BP My Home. In next upgrade, i'll prefix my columns to avoid this behavior.
In the meantime, you can edit 3 files to make BP My Home behave the right way.
1/ dragbox.css, path : /wp-content/plugins/bp-my-home/css/dragbox.css. You need to replace all occurences of
.bpmh-front-column. There should be 6 occurrences at lines : 1, 6, 19, 42, 61 and 68
2/ dragbox.js, path : /wp-content/plugins/bp-my-home/js/dragbox.js. You need to replace all occurences of
.bpmh-front-column. There should be 3 occurrences at lines : 27, 28 and 51
3/ template.php, path : /wp-content/plugins/bp-my-home/includes/template.php. You need to replace all occurences of
class="bpmh-front-column". There should be 2 occurrences at lines : 51 and 54.
It worked for me, so i guess it should for you ;)