DrDu said:
The question is nevertheless interesting. It is well known that charged bosons will show superconductivity. Obiously it is not realistic to observe macroscopic quantities of unbalanced charge nuclei. However one may speculate that the superconductivity of Helium nuclei might be observable e.g. in Helium under high pressure. Then the electrons will probably form a more or less homogeneous metallic background into which the nuclei are embedded. At sufficiently the crystalline order of the nuclei should break down and the nuclei should form a bosonic quantum liquid. I am pretty sure this has been elaborated to quite some detail, e.g. I found an article about metallic helium in the interior of jupiter:
Lars Stixrude andRaymond Jeanloz.
Fluid helium at conditions of giant planetary interiors PNAS 2008 105 (32) 11071-11075; published ahead of print August 6, 2008, doi:10.1073/pnas.0804609105
And e.g. Neill Ashcroft has studied theoretically the superconductivity in metallic hydrogen and other light elements under high pressure.
The material that you are describing isn't stripped of electrons. The material that you are describing is more like white dwarf matter. White dwarf matter has degenerate electrons.
The dynamics of the material would be governed mostly by the degenerate electrons, not the degenerate nuclei. Most of the pressure associated with this material would come from the degenerate electrons, not the nuclei. At finite temperatures, the mean free path between electron-electron collisions would have to be much shorter than the mean free path between nucleus-nucleus collisions.
At temperatures very close to absolute zero, white dwarf matter with helium 4 would be comprised of two fluids. The fluid that causes most of the pressure would be a Fermi-gas of electrons. I am not sure that the fluid associated with the helium nuclei would be a super fluid.
Each helium nucleus in white dwarf matter would have to collide with many electrons before it collided with another helium nucleus. However, I suppose that in the limit of absolute zero maybe the nuclei could become a Bose-Einstein fluid.
It would be hard to separate the properties associated with the nuclei fluid from the properties associated with the electrons. The material would definitely be metallic, in that the electrons would conduct electricity. However, the nuclei would hardly matter at all. White dwarf matter with helium nuclei would be very similar to dwarf matter with hydrogen nuclei. I serious doubt you could distinguish between white dwarf matter with helium nuclei from white dwarf matter with iron nuclei.
I think that the OP was asking about a gas of bare helium-nuclei. I doubt that he was talking about white-dwarf matter. White-dwarf matter is interesting. Although not stable under earthly conditions, it would be more stable than the bare nuclei that he was talking about.