I realize we don't have many crimes at that time, which is something I also don't think is good either as I believe we should have a number of minor crimes - as mentioned in another thread.
But even if everything stayed as it is there, I found that crime was able to ruin me as soon as actual crime buildings were being unlocked. This is because I was already incapable of running less than 200 crime due to being a Nomadic and due to being Aggressive as well (wasn't paying much attention to how badly these two added crime) which adds more after 200 crime, I was in a runaway crime situation by the time the big nasty crime buildings were getting unlocked and was nearly in revolution on my second city - it went through a number of anarchy periods courting full revolution.
All this before I had access to TW units. I had to beeline to the TW tech to survive, crossing about 4 columns to stretch to get it. Early crime was definitely devastating and now I'm hovering at about -1000 crime in every city, paranoid I'll let it get the better of me if I'm not looking. With every city I build, I review the amount of crime I'm pulling in and usually find I need another TW in many of them (and I'm able to get all the crime promotions and I still need to staff about 9 or 10 of them in my capital to keep crime in the negative! Of course, I don't shirk building the crime buildings either so I guess I'm a bit of a glutton for punishment there...)
My point is, early crime can create a huge bind-up to your enemies as soon as they start to discover the techs that release mean crime buildings because there's really nothing that can be done about it for a long time if it gets away from them. If you could use some Outcasts to blast your neighbors early on, you may be able to get one or more of them to experience this kind of frustration despite whatever buildings they may build. Might be a bit excessive as you could achieve it with Thieves too... but it could suit some strategies.
Besides, I like it better when our unit concept lines start off with a 1 str version.