They give up their 1st amendment rights, 2nd amendment rights, 4th amendment rights, and probably a few others. Maybe you are ok with that but I am not, I fear too much government power even when it come to soldiers.. You are correct though, this really should be a separate topic so I will leave it there.
Wrong on all counts. Telling me "Maybe you are ok with that" is a cheap shot. So far, you haven't proven your basic premise: "They give up their 1st amendment rights, 2nd amendment rights, 4th amendment rights, and probably a few others." Where is your evidence that that's even true?
Restrictions are not the same as complete forfeiture.
Military members are allowed to attend political rallies out of uniform. They can express their opinions as long as they are not doing so as a representative of the military. In some instances, when speech is related to potentially sensitive or classified info, that speech needs to be reviewed by the military before release to the public. CIVILIAN members of the government have similar restrictions. If they write a book, the manuscript must be reviewed prior to publication to prevent unauthorized disclosure of classified info.
Military members have 2A rights. What makes you FEEL otherwise? I owned 2 revolvers which I kept in my apartment while assigned to Tinker AFB, OK. No permits to acquire, no registrations, 3 day NICS background check, etc. When I moved on base, they allowed me to keep them in officers' housing. Had I been enlisted living in a dorm, I would need to check the weapons in and out of the base armory when entering and leaving the base if I wanted to go shooting. Hell, we had a skeet range at the end of the runway. We could bring guns on base, leave them in vehicles, and go skeet shooting after work.
To state unequivocally that members of the military give up their 4th amendment rights is false. There are areas of debate based on the age-old military custom of inspections. Excluding that limited example, the Manual for UCMJ has Military Rules of Evidence 311 to 317, which include the embodiment of the 4th amendment within the scope of criminal warrants and searches.
You painted your opinion with a broad brush -- that the military strips its members of constitutional rights. That's wrong. Just as states are allowed to place restrictions and limits on rights, so may the military.
Here's a little clarity on how the 4th applies to the military.
https://scholarship.law.wm.edu/cgi/viewcontent.cgi?referer=&httpsredir=1&article=1516&context=wmborj