Clear white Colonial Hydroids?

Oceanic Wrath

Reefing newb
I now have found what appears to be tiny thin white hydroids on my clover polyps rocks. The infestation from my brown colonial hydroids have gotten so out of hand that my mentor and I have relocated my fish and shrimp into a tank with new live rock (thoroughly checked) and no polyps or corals at all. I was going to move my clover polyps until I spotted this mess. Do they spread like the brown ones? Should I leave the polyps in the infected tank?