I would say that eventually that most of them had to eventually enter Confederate service because of the Conscription Act. The real question is what time period are you talking about?

If you are talking about immediately after returning to Little Rock I would have to say NO, the majority of them didn't, because of the realitively few regiments that entered Confederate service after August 1861.

I believe that as with other "Major" battles of the period, that most of the State Units having seen what War was really all about, the brutaility and such, that they simply disbanded and when home if they could. As a general rule most of the soldiers whether they were Union, or Confederate, national service, or states service, had only one "Good Battle" in them if they had the opportunity to go back home during that first year of the war.

By February 1862 Arkansas was just then organizing Carroll's 18th Arkansas Infantry. It was Van Dorn's call for recruits in expectation of the Pea Ridge offensive of the coming spring of 1862 that spurred new enlistments for the defence of Arkansas. This lack of "volunteerism" and the fact that many of the early 12 month enlistments were expiring and were also expected to simply disband at the end of those enlistments and go home is what prompted the April 1862 Conscription Acts to be passed.

Now that I've jumped into the pond, everybody else pile on.