Possibly exposed toxins through cleaning?

I used some Dawn dish soap mixed with water on a paper towel to clean my steering wheel and some of my dashboard, and stereo, however from what I have been reading I have come to the conclusion that was not the safest decision as Dawn dish soap can be abrasive as well as containing potentially harmful chemicals. I am thinking about getting a new steering wheel at the very least.

I do keep my car ventilated as much as possible, which I would think is a good step in combating potentially harmful toxins that I may inadvertently exposed myself also.