I vaguely remember an ability that would allow you to use quarterstaff and polearm specific feats with all the weapons in this group.
I ask because I'm looking to use bladed brush with any polearm not just the glaive.
I can think of some close things but not that exactly. There's a feat which lets you use any ability that works with a quarterstaff, with any polearm (spear dancing spiral), and a fighter advanced weapon training which almost works - weapon specialist - if only there was any choice to be made in picking a glaive for bladed brush. Nothing which quite works for you though.
Instead of Bladed Brush, perhaps use Quarterstaff Master and Spear Dancing Spiral? Unless you wanted it for the "counts as a swashbuckler weapon" thing.