It probably doesn't work because your date is actually "M/d/yyyy H:mm". Your pattern does not match, so the @timestamp is not changed and a "_dateparsefailure" tag is added instead.
I think right now IT IS using your timezone. The default for the "timezone" setting is the platform default (UTC + 4 ?) and the dev tools show you the corresponding Zulu time (because ES always uses UTC). If your logs' timezone and your server settings are different from each other, you'll have to provide the timezone in your logstash settings.
For example: If your logs are already UTC, you'd add timezone => "UTC"
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