Astronomer's Tower: an Idea on Interstellar Space

 I'm sure there is better thought on the interstellar medium elswhere, but having availed myself of Arecibo University's exoplanet calculator page, I applied it to an idea. The interstellar medium has a consistent? Temperature of 3°K. So what if this heat was the result of tiny stars everywhere? And what do these stars look like? 

The Interstellar Medium

T*                        3°K
M*                       7.891e-25 (1,569,598.81kg)
R*                        0.000000000000880775 (0.0006127551675m)
L*                        5.62994e-38
Lifespan            3.08e+68 Gigayears
Iceline               6.4064e-19AU
Density*            6.369e+12 g/cm^3
Gravity*             9.977 m/s^2
Escape V*          0.00001059 km/s

Basically the interstellar medium is going to crush your starship. It has gravity near equal to earth so you need continuous propulsion to escape it, its density is less than that of an atomic nucleus (which comes in at 300e+12 g/cm^3),  and its escape velocity is what...? 0.01m/s? So... are we looking at Photons? String loops? Perhaps Electron cloud?