I don't agree with your perception of the AG. Yes, individual churches may wander from AG positions, but to say the denomination leaders turn a blind eye to doctrines condemned by the AG is simply not the case. If an AG church gets out of line, and the district finds out about it, heads will roll (figuratively speaking of course). And if the district doesn't take care of it, Springfield would.
I'm not currently in the AG, but I have relatives that are pastors and another that works with credentialing of pastors. Listening to their stories, I'm amazed how easy it is for a wayward pastor to loose his credentials. Since I'm not attending an AG church due to doctrinal differences, I don't particularly have an ax to grind out side of the fact that I have a tremendous respect for the AG.
In Canada, the PAOC is the sister to AG. We have an ordained PAOC pastor, who is currently leading a campus ministry which the PAOC supports. He attends our Baptist church, because his wife has attended there since she was born, and in fact, she was the head of the elder board the last 2 years.
He cannot be a member of our church, or they will yank his creditials. He is allowed to attend, even preach on occasion, but he cannot be a member, which he does not like. The PAOC thinks the doctrinal differences are too large for him to actively commit to our church as a full member., and they said they will yank his ordination if he becomes a member. He loves our church, we are pretty open, but I have to agree with the PAOC that if he is ordained by them, and believes as they do, it is a vast gap in some areas. Now, we have the same Christiology, our worship is actually similar, but we do not speak in tongues. We are “mildly Calvinistic,” whatever that means, and PAOC is Arminian.
For me the biggest issue, is that the PAOC has it right in their doctrinal statement that anyone not believing in a pre-trib premillennial rapture, is a “heretic.” We were researching doctrinal statements in seminary, and I never knew that the whole time I attended that church, except we went to another Pentecostal Denomination for 2 years, and when we moved, and changed churches, we told people where we had formerly attended. People always asked why we had gone to a church with “heretics?” Of course, I knew nothing of eschatology one way or another in those days, but as one of my fellow seminary students said, how can you call someone a heretic based on an educated guess that hasn’t happened yet?