Much as I'm no longer English, I have kept a close eye on the great escape, mostly because I see the EU as close to a dictatorship, and expensive one, but mostly because I'm keen to keep an eye on what a quid is worth over here. Basically, as with a lot of politicians, cash is my main interest (but not quite so corrupt)
Politics in Indonesia is a minefield, and one in which an expat (or politically active tourist) can lose a leg in.
There are several problems:
Stay well clear of anything to do with Papua, especially going there with even the slightest political intent. There's a fair chance you'll end up deported, but that's possibly a bit of a bonus because a dead white face is more useful to the rebels in propaganda terms than a live white face. In other words, you might well end up dead at the hands of your mates so they can blame the government.
Don't engage or discuss in any way anything more than a little left wing. Communism is illegal here, and nobody that matters gives a flying sheep about the subtle differences between that, Marxism, or any other left wing 'isms'.
Defamation is a criminal offence so if you accuse a politician of being corrupt, the result of an out of wedlock birth, or anything else they don't like, you can end up in the slammer. If you want to say something, be subtle (That's rich coming from a Barnsley boy) There are plenty of examples of people getting into hot water for defamation, so try to be a shade careful.
Big elections tend to be safe times, mostly because there are so many armed cops around, nobody in their right mind would do anything violent. Election days are more like social gatherings that the sort of thing you'd expect to see in the UK or US. The whole village turns out, has a chat, a snack, a drink, and they even vote.
Local elections are a different animal, the one I voted in a week or so ago being even more a social event with all the candidates sitting on a stage in case anyone wants to ask them something. There are hand carts selling street snacks and toys for the kids. A few coppers were hanging around, as were a couple of military types, but none were armed. The press hang around on the off chance they'll get a story, but there's rarely much to report.
The period after presidential elections can be a problem, especially if a candidate doesn't like the result. The last one saw violent protests for a while. I think it's pretty obvious expats should stay well clear of that stuff.
Political messing around can be good or bad for expats. The president is trying to make it a lot easier for foreign investment, thus easier visa rules and process, but the more extreme nationalists trying to keep anything non-Indonesian, and quite a number of Indonesians they don't think should be Indonesians, out of the country.
Masons aren't illegal, but they might as well be. They are seen as anti religious, corrupt, and only interested in their own ends, probably to overthrow the government. It hardly matters if that's true or not, anything masonic is very unwelcome
I think the best way is for expats to stay out of Indonesian politics, but there's nothing stopping you keeping an eye on the field..