Basically Discordia is a 50 year old joke that was invented by a couple of old hippies.
Not really, but for simplification ITT there are two kinds of Discordians. The Classical Discordian who thinks the Principia Discordia is a holy writ and should never be changed. This is not what you will find at PD.
The Discordians there have taken Discordia apart, dissected it, put it back together and then changed it. Collectively they are some of the most intelligent group of people I know. Staunchly independent. Once in a while a little magic happens, google Black Iron Prison. That was a spontaneous collective response that is still pretty damn amazing.
As for the "religion" itself, few of us hold it to any sacred standard. I certainly don't. There are some tenants that continually hold true though.
1) Believe nothing you read.
2) An increase in order brings an escalation of chaos.
3) Think for yourself.
4) Never take yourself too seriously.
5) There has to be 5.
Then there is The Church Of The Subgenius. Instead of Eris, they have "Bob".
So, yes they are both parody religions, largely agnostic with some random splattering pf pagans here and there.
Erisians can take Eris pretty serious though. Trying to put Discordians, SubGenii, and Erisians together is like mixing gasoline and fire though.
I have never personally even read the entire Principia Discordia, nor do I have any plans to. I tried, but those guys were stoned off their asses.