my comments and questions from the pic...
the bearing supports being in a pedistal on concrete look like a solid design.
I assume the gen is to the left. the bearing and its suporting rings look like it could be possible to have undesired excessive clearance and thus the bearing be loose. But I don't think that would be a problem by itself, just make the problem greater.
I don't understand all I see between the bearings. Is this the "clutch"? (I have never worked on unit with a clutch)
You called it clutch, but is it an direct drive engagement device (or does it allow shaft slippage). I'm going to assume it is like a splined hub that meshes with geared couplings on each shaft.
If that case, the alignment between the gen's two bearing supports and the turbine's two bearing suport would be my first suspecion for the problem. I would not have a recomended acceptable bearing line, like say, the 4 bearings being in a straight line. It might require the outboard gen bearing higher to make a "fair face" alignment between the gen and turbine due to rotor sags.
Also, how hot is the turbine casing, is it radiating heat into the turbine side bearing causing a rise and thus that bearing need to be set low at cold. I don't really see that as a large problem though.
Now with older units, I have been biten where the original bearing alignment from design didnot work, a change was made during first years of operation, but not documented. then 40 years latter, it is "discovered" the machine needs to be realigned and the original problem comes back.
Quick war story...I was setting up controls on older machine just rebuilt by others. During return roll up, SEVERE oil whip. Not knowing what happen during rebuild, I recomended in meeting bearing needed to be raised by at least 0.015". I didn't realize overhauling engineer had made big deal out of finding that bearing high and had "fixed it" as extra work
GOOD LUCK