You need to get out more:
1. He said SOME Mexicans are rapists, not all.
"They're rapists. And SOME, I assume, are good people." You had it backwards.
2. He only said to ban Islam TEMPORARILY until the vetting system is improved.
"Until we know what's going on." Everyone else in the country knew what was going on, except the candidate for president. He saved face by banning visits or vetting them more on some majority Muslim countries for defensible reasons.
3. The mayor obviously didn't do a very good job on fighting terrorism, let me tell ya that.
Neither did Guiliani, who also went around New York post 9/11 saying some of the same things London's mayor did. Trump jumped one phrase, something like "no need to panic," after listing what steps were taken and were planned, which is what mayors our supposed to say in those circumstances.
4. That doesn't mean he is sexist.
Neither, I suppose is his history of insulting other women's looks, bragging about *****-grabbing, etc. "Nothing to see here... move along, folks.
5. Google is far more liberal, which means I'll get anti-Trump stuff anyway. I'll use duckduckgo thank you very much.
Name your poison. I checked out the duck site. They produced many of the sites Google did in the same search.