The first is a PowerGaming Rules Lawyer. Yes, a combo of both. He will be easy to deal with, he ain't playing (I'm not inviting him, and he isn't interestred in playing). But, I'd thought I'd get your ideas on how to deal with them anyways...
Basically, he played a Rigger, and he had purchased Rigger 3 and was using some of the rules presented in it. He gave me the book to scan through, and I made some rough notes about the more important parts. When Murphy's Law kicked in, and we needed one of the parts I hadn't noted down, I used the GMs "fudge it" power, and applied logic to resolve the situation. This incited an argument of his "That's not how it works" against my "Look, I'll sort it out in the break, I want to keep the flow going"... Needless to say, play was halted until he was happy with my interpretation of the rules, and we lost an hours play.
The second is a details person. The sort of person that watches a movie, and afterwards will have a half hour discussion on how the collar of the characters shirt was up in one shot, and changed in the next one... This one I got to wield a bit of GM power though

The scene; a sewer. The enemy, a swarm of something (weren't Devil Rats, but they were larger-than-normal-sewer-rats-controlled-by-a-spirit). After using a concussion grenade to try and scare them away (yes, his team made the rolls to survive somehow), the rats kept coming <this elicted an after game argument about how they should have run away; quickly stopped by the they were controlled comment>. As they kept coming, he decides to discuss with the team as for a plan of attack. With me saying "hurry it up, you ARE in combat". So when he is ready to act, the rats had moved closer, to the point they were on top of him (literally swarming up his legs). Hey, they wanna talk in combat, the rules are clear on what can be done each combat turn >:) Needless to say, shooting rats at ones feet with an AK, full burst... Not good. Rolling ones, and no successes... Good bye toes

Dealing with their characters doing stupid things is easy (they managed to lose a whole slew of safehouses, all their vehicles and pissed off their contacts in one mission <all legitimately>), but dealing with the people isn't so easy... I almost walked out midgame once, which I didn't want to do.
So, any suggestions on how to deal with these people?