Crosscountry would need a fleet of Classic Compatible HS2 trains if they were to run over High Speed 2, and some fairly extensive electrification of the South West leg of XC would be needed depending on how much of a reshake the XC network witnesses due to the opening of HS2, which I imagine could be quite extensive, and I have my own ideas of how the post-HS2 redrawn XC network could look.
Also, as far as I am aware there are no plans to link HS2 into the "classic" WCML through International, only into the Trent Valley around Lichfield, so it would be impossible for Crosscountry trains to access HS2 around the West Midlands.
Crosscountry is one of the few operators that I think could actually draw a decent amount of benefit from the Bi-mode IEP, whereas the requirement for bi-mode in many of the currently proposed areas could be negated by doing a proper job of electrification; such as extending the GWML wires to Swansea and the Scottish electrification schemes pushed through to reach Aberdeen. Some "proper length" (Eight carriages is currently passing as "proper length" in the IEP order, which is disappointing when ten carriages were originally proposed, but at least the carriages are longer) trains on Crosscountry, allowing some of the pathetically puny 220s to be cascaded to more regional duties, would certainly be welcome.
As for electrifying the Lickey incline, as others have said there are no issues with it and the Bromsgrove scheme is reasonably well advanced in the planning stages.