Here is a great example of instinct 'helping.' "the fruit of the Spirit is x, y, z, and against such there is no law." 'Against' is often how 'kata' would be used with law, but not the only. If you have followed what Paul is saying (about walking in pace with the Spirit), he is creating innovative images. He's now on how the flesh works and gets paid wages vs the Spirit grows things like a tree does fruit. 'kata' doesn't have to be 'there is no law against love, patience, etc...' It can be the more powerful: 'you don't make laws about these things; the Spirit GROWS them.' That's very close to what he means. It's not about making laws, although some laws need to ground things.
So my instinct that the people who keep drumming 'house of Israel and house of Judah' and NEVER SEEM TO KNOW ANYTHING ABOUT THE REST OF THE BOOK, OR THE INTERP OF THIS SAME AT THE CONCLUSIONS IN 10:1-18 is pretty much to ignore them, to turn them off like a CD player stuck on one byte of a track. The 'Israel' and 'Judah' mean more than just those tribes or races or divisions. Just like in Rom 9, we meant more than Israel. Because the heart of the rest of Hebrews doesn't care a spit about tribes or races, but rather with all the grand themes that the rest of the NT does.