oso45-70: You are correct that in some states Full Metal Jacket bullets are not allowed.
In California full metal jacket bullets are not allowed on "Game Animals." The coyote is not considered a game animal and there is no season or possession limit on them.
http://www.fgc.ca.gov/2005/nongameseason.htmlChapter 6. Nongame Animals
§472. General Provisions.
Except as otherwise provided in Sections 478 and 485 and subsections (a) through (d) below, nongame birds and mammals may not be taken.
(a) The following nongame birds and mammals may be taken at any time of the year and in any number except as prohibited in Chapter 6: English sparrow, starling, coyote, weasels, skunks, opossum, moles and rodents (excluding tree and flying squirrels, and those listed as furbearers, endangered or threatened species).
(Amendment of NOTE filed 5-13-81; designated effective 5-23-81.
§474. Hours for Taking.
Nongame mammals may be taken at any time except as provided in this section.
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§475. Methods of Take for Nongame Birds and Nongame Mammals.
Nongame birds and nongame mammals may be taken in any manner except as follows:
(a) Poison may not be used.
(b) Recorded or electrically amplified bird or mammal calls or sounds or recorded or electrically amplified imitations of bird or mammal calls or sounds may not be used to take any nongame bird or nongame mammal except coyotes, bobcats, American crows and starlings.
The bottom line is to know the requlations for the State and the area you are hunting. There are so many State, County, and local requlations out there that a hunter does not dare get out of bed in the morning.
Your word of caution is well taken.