Ok, so I just had a quick read of 'Freeman-on-the-land'. That's not going to help you much, is it? Obviously, you can't change what you believe (necessarily) but it's not going to reassure SS if you deem the law to be merely a contract and that you aren't bound by it unless you agree to it....it doesn't really work like that!
I've only read a wikipedia entry, but that suggests that you wouldn't get a solicitor because to do so would mean contracting with the state...so that's out anyway, I take it.
I can see, given your beliefs, why you refused the medical, but that wasn't the most sensible move. Done now, though.
School must have had significant concerns, though? My DDs go to school with all manner of bumps, cuts and bruises (especially DD1 who has SN) and not once have school raised concern, although I admit that I always point out particularly 'interesting' bruises, such as the linear bruise on DD1's inner thigh which resulted from her falling awkwardly on the door threshold.
There was one interesting moment when DD3's montessori teacher mentioned that another teacher had noticed DD3 had a black eye. She and I were both relieved when I was able to point out that DD3 has a particularly prominent vein over that eye, and given the fact that she is so little, when her eyes are open the edges of the vein are hidden.
I'm suspecting, from what you've written, that part of SS's case against you is that you have 'no insight' into your 'shortcomings as a parent' and therefore are unable to change? That's the tricky thing. What you see as perfectly valid lifestyle choices and political views, will be seen by SS as an inability to put your children first, from what you've written.