No, we don't have a religion tax.

Mosques, imams, or Quran schools are generally funded by their respective communities, or anyone for that purpose. However, there can be some preferences in this regard. We do have sects; however, the concept of sects is generally discouraged in Islam.

Zakat can be given to them as well. There are no state-run mosques or Quran schools, at least not to my knowledge.