Communications (especially the lack of it) would influence the actions of Soviet commanders in Alaska too. If they were completely out of communication with a higher command I would imagine it would be an easier decision for the 11th Army commanders to just stay put and consolidate as best they can. If higher Soviet command did have communications with them they would be urging (or more likely flat out demanding) that the 11th Army maintain offensive operations.
By 2002 I think the Soviet forces in Alaska would be willing to cut a deal with US and Canadian commanders to withdraw back across the Bering Strait (if that was possible). Two things would make such a scenario more likely -
1: Word from Europe and the Middle East that the war in those regions had effectively ended (if there was any communication coming from those areas to Alaska at all) and;
2: Increasing numbers of Soviet units deserting, refusing orders or "going native".
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 "It is better to be feared than loved" - Nicolo Machiavelli
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