One cdp into two amps


I have recently acquired a wonderful Rega Apollo that I would like to use as the source for two different systems set up in the same room. The Apollo has a digital coax out that I could connect to the solid state integrated amp and also analoge RCAs that I could connect to the tube integrated amp.

My question: Is this potentially harmful to any of the components?
closdubois
No, I don't know if they are or not but I don't anticipate having both amps powered at the same time.
The solid state integrated (Nak)powers the main system which serves as the 5.1 home theatre and whole room (15ft X 30ft)stereo. The Tube integrated is an Onix SP3 driving a pair of old, but in good condition Klipsch KG4s and is situated perpendicular to the main system for nearer field listening.
I probably wasn't clear about not wanting to power both amps simultaneously which may have mislead some.
Both amps are now connected to the Apollo and I'm alternating back and forth.

Thanks for the expertise. I thought it would be OK to do but it's nice to get a second opinion or two.