How does Multiclassing Fighter (Drill Sergeant) and Cavalier effect the "Tactician" Class Feature

[Pasco]

The Cavalier Class Feature "Tactician" sais:

Tactician (Cavalier):

"At 1st level, a cavalier receives a teamwork feat as a bonus feat. He must meet the prerequisites for this feat. As a standard action, the cavalier can grant this feat to all allies within 30 feet who can see and hear him. Allies retain the use of this bonus feat for 3 rounds plus 1 round for every two levels the cavalier possesses. Allies do not need to meet the prerequisites of these bonus feats. The cavalier can use this ability once per day at 1st level, plus one additional time per day at 5th level and for every 5 levels thereafter."

You get a Bonus Feat (Teamwork) and can do things with it.

The Fighter (Drill Sergeant) Class Feature sais:

Tactician (Fighter(Drill Sergeant)):

"At 2nd level, a drill sergeant gains the cavalier's tactician class feature, treating his fighter level as his cavalier level for the purposes of this ability.

This ability replaces bravery."

As you are granted the “Tactician” Class Feature at lvl 2, you will have selected a Bonus Feat (Teamwork) at lvl 1 retrospective, or something like that.

Bottom Line: You get the Bonus Feat (Teamwork) at lvl 2 instead of lvl 1 (which sounds fishy to me rule wise, but whatever) and can do things with it.

The Question is now: What happens if you start and Multiclass. I’ll be taking:

1. lvl Cavalier 1 - Bonus Feat (Tactician) and other Stuff
2. lvl Fighter (Drill Sergeant) 1 - Normal Bonus Feat (Combat)
3. lvl Fighter (Drill Sergeant) 2 - ???

Would I be getting another Bonus Feat (Teamwork) or do the two “Tacticians” just stack in some way. What stops me from simply accepting the latter is, that you get two different instances of “Tactician”, which would grant you two separate Bonus Feats (Teamwork) independently, by wording of the rule-text.

[SodiumTelluride]

You get two different instances of the Tactician ability, and can use them separately. The upside is that you get twice as many uses out of it (just be sure to keep track of which one you're using), but the downside is that you have to advance one at the expense of the other. The levels would stack if the ability specifically said they do (for example, Pathfinder Chroniclers gain bardic knowledge and bardic performance that explicitly stack with bard levels, and classes that gain Improved Uncanny Dodge tend to explicitly stack with each other).