Yes, you should either get it cut in half or have it so they don't tell your insurance company if you play your cards right.
Go to court and say that you were wrong. Don't try to blame the cop or make lame excuses. Just own up to it. The judges appreciate this and are more likely to give you a break.
BTW, if this is your 12th ticket in the last year--forget it! They probably won't lower it at all. They will make an example of you in this case.
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2002 Xterra XE 190K
2012 Frontier S 64K
2007 Toyota Tundra 103K