AFL-CIO & IBT Separated?
International Brotherhood of Teamsters separated from American Federation of Labor and congress of Industrial Organizations?
What can be a cause for this organization splitting?

Seems like they do not agree on issues of UNION growth.

AFL-CIO will be supporting UNION political projection. In the other hand, TEAMSTERS don't want to spend their monies in Political Action Committees (PAC's), instead, they fully support organizing new UNIONS the traditional way.

Nobody believes TEAMSTERS is going to be separated from AFL-CIO because of that. Everybody understands TEAMSTERS will be supporting political action where it is well arranged for TEAMSTERS.
Nothing wrong with it. Even if a new federation led by Teamsters is founded, nobody believes IBT is separated from a AFL-CIO, and as long as they both represent employees their decisions will be for the wellness of their membership.
We must clearly understand that 'altogether' unionized employees are still a minority of America's work force.

When are we going to see a Union, or Federation searching for a "US LAW" GRANTING UNION REPRESENTATION FOR ALL OF US IN AMERICA?

I believe they are already there and 'the splitting' is only the exterior sign of the opposition that comes with it.

AFL-CIO,...IBT,...PAC's... U-N-I ON!