In my opinion, this is due to their ideological confusion which exists equally in Ikhwan and Maududi. In their view, once a modern state accepts sovereignty of God it becomes just like an Islamic Caliphate. This error that the modern state can be islamized resulted into entering into Afghan Jihad. They thought that Pakistan, an Islamic state and is being islamized by Zia through legislation, will then follow a policy towards Afghanistan keeping in view their "Islamic ideology". However, Modern capitalist state always operate according to the economic interests of the elites of that state.
JI was of the view that Afghan Jihad will result into the formation of another "democratic Islamic state" which will then work in complete harmony with another "Islamic State" Pakistan. This was not possible, Islam for our elites, like religion for any other secular elite, is only meant to justify their economic status and political influence. These elites don't operate under any religious morality but only according to their interest.
In fact Dr. Israr was right that Maududi's acceptance of democracy and making JI a political party was wrong. JI should have remained only as an ideological party working for the construction of their own "ideal Islamic society and government under Pakistani laws. Maududi and other Ulama should have never given a religious sanctity to the modern state.
All of the contradictions and opportunism in the politics of JI which you also have mentioned stemmed from this ideological error or at least an ideological confusion.