Looks like only fighters can get Weapon Specialization as a feat. I cann't find anyway a brawler can get it.

Apart from that, you're good to go.

Martial Training (Ex): At 1st level, a brawler counts her total brawler levels as both fighter levels and monk levels for the purpose of qualifying for feats. She also counts as both a fighter and a monk for feats and magic items that have different effects based on whether the character has levels in those classes (such as Stunning Fist or a monk's robe). This ability does not automatically grant feats normally granted to fighters and monks based on class level, such as Stunning Fist.

straight from the SRD

I'll take it. - Sanctioned.