to me it seems it will be as productive as having a conversation with a conservative, a fascist, a social democrat or a leninist. There are good reasons why we don´t meet in real activism and real life.
Just because anarchists share up to a point "anti-statism" with neoliberals be it of the "minarchist" type (Milton Friedman, Republican Party) or the more radical "anarcho-capitalist" type, it doesn´t mean we have a lot to find in common with. If just coincidence in one issue was sufficient for that then we can have as much to cooperate also with maoists and followers of the North Korean government just because we share with them "anti-capitalism". Also anti-racism and feminism can makes us cooperate with social democrats and I can say just as well anti-parliamentarism can makes us cooperate with fascists and nazis. To me reaching a "productive conversation" with any of those kinds of people will be just as useful.