abuse looked like it was more of a state-specific issue. I think I had initially shared California, but since you specifically mention Utah, here's Utah for your reference:
http://staceyschmidtlawfirm.com/consequences-of-domestic-violence-conviction/
Quick Summary: VERY similar to CA, there is Misdemeanor and Felony Domestic Violence charges:
Misdemeanor Domestic Violence - 1st offense carries no minimum and up to $2,500 fine and up to 1 year in jail
Felony Domestic Violence - 1st offense carries no minumum and up to $5,000 fine and up to 5 years in jail.
quote from the source: "For first time misdemeanor convictions, jail terms are typically shortened or suspended."
Reminder: Federal law does have minumum sentences for weed possession and other related offenses.
But as these are not exactly apples to apples penalties, I have a hard time saying either one is more severe. From my completely uneducated position, they seem pretty similar and would depend nearly entirely on the specifics in the case, including the mood of the specific judge.