How to replace urine-soaked insulation

So the problem is mostly the smell. Two ways to go at it, and you may need both - a respirator with a carbon filter cartridge as well as a particulate filter cartridge (stackable), or a combination type cartridge, and a "fresh air blower" to supply clean air to the space before, during and after working in it.

But since I see in the bits that were (IMHO) excessively edited out of your question this is not your own home, a call to the local (health board? or whoever has jurisdiction over landlords) is where you, as a tenant, should start, (assuming that you have already brought this to the attention of your landlord without results - if you have not, start there) along with perhaps looking for a different rental and considering breaking your lease for the property not being maintained in a condition that's safe to inhabit. Ripping out the insulation is not only not your responsibility, it's also undoubtedly not something you are allowed to do, either.