Great game! The arcade cabinet games is not a popular genre but what you did in this entry is simply amazing! The idea fits perfectly, making the default arcade controls into the new layer of difficulty.
The game lacks a little bit of explaining the core, as my first run ended with birb flying into the first pipe. Maybe one sentence introductory screen needs more diversification from control scheme, like putting them on separate backgrounds or highlighting the core sentence about dragging the pipes. But personally I would prefer small arcade styled infographic with pointer dragging the pipe and birb safely flying through.
I would say that the resulting game is not easy, but because you chose to make it harder through specific control scheme. It fits well and the game is fun! I haven't tried it with mouse, but it feels like mouse control would make the experience less engaging and challenging.
Overall polish is superb, waiting for an actual arcade cabinet port (jk) (unless...)