Nope, you can just use these mods for the time being.
On the flip side, it’s orders of magnitude easier to write a Minetest mod, and keep it updated with later versions and compatible with other mods.

Highly unlikely. Minecraft has a lot of quirky code, and the mods would have been built around that code.

For all intents and purposes, the clones are a different game entirely, and unless the mod author specifically goes out of their way to make their mod compatible with the clones, or a different version for it, they won’t work.