No, I don't think we would ever get access on equal basis. You don't even get that in the States.
In the States, AOPA works in two main ways.
1) Behind the scenes negotiation using terms like 'shared' access. Note, not equal access, 'shared'. It's close but not the same.
2) Donations to targetted politicians re-election fund.
US AOPA don't go around pissing people off telling them that these spoilt private pilots with too much money and their noisy toys have 'rights'. They work behind the scenes. Negotiate and compromise. They have even compromised on the new FAA funding legislation, a little....
What need to happen is some controllers are reminded that GA pilots are customers too.