Oleg, can you send me a copy of this game, I have not had a Home Planet Rebel often.
Unless I have been attacked by Intel from another Player or there are Enemy ships in my System.
In the all the games we have played, we have never seen this to be Problematic.
The AI has no problem and get out of it naturally as do we Humans.
Have some ships in the System and keep your Enemies out, don’t loose to many Colonies or Ships from battle. 
You know what needs to be done to keep your citizens happy.
~TIP~ having a few Starliners on routine Population delivery on those remote systems, has the effect of boosting the happiness levels for all the systems traveled thru
Regarding Random Events. I cannot see how the Random Event Numbers factored in with the System and Planet Happiness Modifiers, Ships, fleets in system, Facilities etc. Can cause you a consistent rebellion problem at home, unless you are really unlucky and draw that event
Are you playing with the Unmodified AIC Intel, Happiness and Events files?
[ August 30, 2003, 18:09: Message edited by: JLS ]