Ok, I'll also add some arbitrary numbers into the discussion!
Gallia - They're supposed to be the biggest, so we'll go with that. They have that supply line issue though, so I doubt they could ever bring the full force to attack.
Liberty - They have super fancy technology and high numbers. They also have the ability to support the military.
Kusari - They're way weaker than they had been in the past, but at present they're still managing to expand and are the only House not at war. Not to mention all the veterans of a successful military campaign (one of the few). If they play their cards right, they should be able to move up.
Rheinland - They have a tough military, but they're so confused in Disco I'm not even sure where to put them. Going into vanilla they could barely afford to pay their people, and then they burned through most resources building up in the SP war. They probably do have a lot more nomad science though to make up for it, but manpower must be getting low.
Bretonia - They have the biggest potential pool for soldiers, but they keep getting the crap hammered out of them, which has left them depleted. If they had a chance to catch their breath and recover, they'd be able to jump way up, but they're pinned right now.
Other - Everyone else. They may be able to do damage, but they'd never be able to stand face to face with one of the Houses. They include...
GMG - Skilled pilots in certain environments, they should be able to guerilla warfare most people into submission as long as they can stay in their nebula (also having House support helps). The results of a true head-to-head military battle would be Samura ruling the h-fuel market, if you know what I mean.
Outcasts - They have that cardamine advantage but every time someone dies, it's a big hit with the issues of fertility. The fact they aren't really in big competition helps them a bit, though with Gallia nearby who knows?
Hessians - They keep getting more and more pilots, giving them the ability to cause damage. But like the GMG, they need to use the environment.
Corsairs - They have super skilled pilots, but they have that super high mortality rate balancing it out. That's why the rumors are suggesting the Hessians are winning - Corsairs are better but they can't stop the Hessian rush.
Can anyone else even enter the picture? The IMG have lots of ships, but their way of surviving in 37 is through hiding. Zoners are impossible to get a handle on, given all the info from vanilla apparently doesn't count (the less than 5k people thing would make them a little on the weak side). The Order seems likewise confused lorewise. Any of the groups who are routinely put into check by police forces are also nowhere near this list.