Talibanism is a backward ideology exported to Afghanistan by foreign countries and most of regular Afghan citizens despise it actually or act indifferent about it.
For 2 reason, it has still influence: 1.Central hovernment is not strong enough due to foreign military presence and 2.Taliban uses violence and religious extremism as its mean to gain influence and hegemony in Afghanistan.
When Afghanistan starts to devolop, Taliban will slowly diminish, because where prosperity comes, backwardness leaves.
There is a way for Taliban to have a place in Afghanistan and it's this: They should leave their extremism, repect the rights of all Afghans equally, including women and Shiites and to actually care about advancement of Afghanistan.
Right now, Iran has a strong cultural and economical presence in Afghanistan and also, with development of Chabahar port, Iran will be the main supplier and transit route for goods to Afghanistan.You should wait until NATO leaves Afghanistan in 2014 or later, then we can clearly talk easier about infuence of different players in Afghanistan.