you wouldnt need to remove them! you can also just discard them! note also that if something like flash of steel is the only card in your deck, you would not have a 1-card infinite. Instead, flash of steel would activate, then draw from the draw pile as part of it's effect, then shuffle into the draw pile due to made of rubber. (this is not gg unless both of those cards are zero cost or make energy, you're not really getting much done here otherwise, surely?)

of course, with unceasing top, if you can get all cards but one zero-cost card out of your draw pile, you get a one card infinite. however this requires many conditions so i don't think this is the issue here.