I don't think anecdotal evidence that unfairly vilifies mostly peaceful subgroups and leads people to incorrect assumptions is a "better" way to do anything. I think it's fundamentally bad.
You and I are mostly in agreement on dealing with immigration, to be honest. I also favor amnesty for anyone who has been here for a while and stayed out of trouble, and a significant loosening of the restrictions on legal immigration. And I have no issue with increased border security and with deporting illegal immigrants who commit violent crimes. I'd say the only differences are that: (1) I'm not in favor of outright bans on immigration from any region (2) I recognize how much money increased border security and expanded detention centers to allow for deportation without catch-and-release cost, so I think it's absurd that there are people pushing for those things while they also push for tax cuts for the wealthy; and (3) like I said I don't like it when people use isolated incidents involving immigrants to suggest larger conclusions.