Is it permissible to say that Allah Almighty is capable of resembling His creations, and does negating that constitute a doubt in the power of Allah Almighty, and is one who does not repel these specious arguments but rather accepts them considered a disbeliever?

Allah Almighty is capable of everything, and He is the One, the Self-Sufficient, having no peer or equal. The created being is imperfect and in need of Allah.

To say that Allah is capable of resembling created beings or of creating another god is like saying that He is capable of being imperfect or non-divine, and this is rationally impossible, because Allah's power does not pertain to impossibilities.

Thus, the issue that presumes Allah creating another like Him is inherently impossible, because two identical beings cannot have one creating the other.

If you are unable to repel a doubt, then know that Islam has an answer; seek it from the people of knowledge. Refrain from indulging in such doubts and being content with them, for being content with them is the danger that exposes your faith to whims.