Looking to move to a Tube Integrated setup

Agreed.  I enjoy both tubed and solid state systems, so no personal bias in that regard.

After looking at those measurements, I can't imagine a tube amp being happy driving this speakers incredibly low impedance.

Nothing wrong with wanting to try tubes--just pair it up with the right speaker.  The Moab Be is not that speaker IMO.  

Impedance is 4 ohms

No way a dinky SET will drive those speakers. @atma-sphere has told me more than once that high sensitivity, full range passive speakers need some grunt even if the specs suggest otherwise. This same idea has been reinforced many times in reviews and on these forums. I'd want at least 50 watt/side of tube power. I do confess to occasional loud listening.

AGAIN, read the review/measurements.  It is NOT a 4 ohm speaker.  At some frequencies it is just clearing 1 ohm!  

Amps need to control speakers, not the other way around.  If you pair a tubed amp with this speaker, the Moab will be exerting its will on the amp with very unpredictable results.  Nonlinear frequency response will be just one of those problems.

Corelli, To be clear, I do not own the full Be array Moab Matrix LX reviewed by Stereophile. I own a pair of the original Moabs with a single HF Be driver. Totally different unit, sound and measurements. Please pay attention to the original description.