Now we're getting somewhere.
You want 'warmth and realism'? The Fabers will do it. The Gato probably won't. Some people love 'em, and I understand why. Not that I agree. I've only heard one once, and I thought it brittle and thin sounding.
Sonus Faber and valves are a classic combination. BUT... they do need some current, and the 'warm and cuddly' horrible valve sound won't work well at all. I'd keep everything else (any change to the DAC and streamer will make relatively small differences that you may well hate) and play with borrowing/auditioning some amp combinations. Ideally, either poweful but 'tight' valve integrated, or valve pre and class-A solid-state power amps. I can't find the link at the moment, but there's a Pass Labs intergrated somewhere that may just work ideally.