No. I don't think you are close at all. You forget a few things in biology and chemistry here. Now, listen to an old lab rat giving a short lecture.
The THC contained within you isolate and is only one of a myriad of cannabinoids in your material.
You isolate trichome heads which are made up of fatty acids. You filtrate solids from the ice water, not a chemical or chemicals in their pure form.
If you want anything close to the pure chemical THC, you would need to disolve the trichs, i.e. the hash with a detergent, clean it up in some way so you can apply the extract to a chromatography colum and separate by High Pressure Liquid Chromatography (HPLC) under conditions where THC is trapped in the column. Then you apply an eluation buffer that will release the THC and THC-like compounds from the column material. Probably, a number of HPLC cycles of will be required to clean up THC from a mixture of cannbinoids with chemical property close to the properties of THC.