Eric- I have made this mistake myself. I burned up an alt doing this. LI batts pull too much power when charging for a starting batt. Todd's reply is correct-it can burn up your alt unless the batt has a Batt Management System. Most modern LI batts do, but there are several issues, still. The BMS also limits discharge, which means it may not allow enough?current to the starter to start the car. This is to prevent a batt fire. Also the BMS can fail without warning, possibly resulting?in a fire. Its far safer to use LI batts just as house batts, where current?draw is lower. Its also best to use a secondary system to control currents, such as a Renology. It's far safer to use an AGM or lead-acid for starting batt. I'm running a three batt system-an AGM for starting and two LI for the camper through a Renology.
Keep in mind that LI batteries always have the potential to catch fire, even if you do everything right. And the fires are virtually impossible to extinguish and produce toxic fumes. Thus, much care and caution is justified.