Since your claims arent flawless,
What does that mean? I would expect no one's claims to be flawless, but even if OP claimed the sky is green, claiming that he is wrong because he's not a physicist is still wrong.
and their responses arent completely invalid
They seem pretty much like obvious examples of fallacies to me.
Your suggestions are possible ways to segue from what OP said into a better discussion, but the replies quoted or paraphrased above aren't conducive to such a discussion.
Who the OP is does affect the prior probability that he is wrong. If the majority of economics viewpoints held by non-economists is wrong (which is a big if), then the commentators would be justified in assigning near-zero amount of credence in what he's saying. If the OP presented a detailed, technical argument in favor of his positions, then this would "screen out" OP's level of experience. But barring such an argument, the commentators may have a point.
That being said, the average internet commentator may not be the best conversation partner.
Especially in the comments of political articles or about economic issues I find myself arguing with people who question my authority about a topic rather than refute my arguments.
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Examples may be:
1:
Me: I think money printing by the Fed will cause inflation if they continue like this.
Random commenter: Are you an economist?
Me: I am not, but it's not relevant.
Random commenter: Ok, so you are clueless.
2:
Me: The current strategy to fight terror is not working because ISIS is growing.
Random commenter: What would you do to stop terrorism?
Me: I have an idea of what I would do, but it's not relevant because I'm not an expert, but do you think the current strategy is working?
Random commenter: So you don't know what you are talking about.
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It is not about my opinions above, or even if I am right or not, I would gladly change my opinion after a debate, but I think that I am being disqualified unfairly.
If I am right, how should I answer or continue these conversations?