If we are going to speculate about a possible 2 litre BMW engined CX car we might as well speculate about the other engine in the BMW modular series. It goes 1.5 litre 3 cylinder, 2.0 litre 4 cylinder, and 3.0 litre 6 cylinder. So far we have seen, and only know for sure that the 3.0 litre 6 cylinder version is being installed in the CX series cars. We can speculate about a 2.0 litre 4 cylinder version but there is nothing to stop them utilisingtthe 1.5 litre 3 cylinder engine as a perfectly valid entry point car to replace the current 4/4.
There is a version of the B38 which offers 100 kW (134 bhp) at 4,400–6,000 rpm and torque of 220 N⋅m (162 lb⋅ft) at 1,250–4,300 rpm.
Note the torque. It is more than the GDI Plus 4 but starts at a little above idle. In the real world that would probably give better acceleration than the current Plus 4 (even after the re-map) so it would give quite satisfying performance.
Of course the B38 is also available as a hybrid version but that is another story.