nope
you need more skinks (your unit is even illegal since you need at least 24 skinks to have 3 kroxigors). the purpose (well, one of the purposes) of this unit is to fight against elites. You will lose a bunch of skinks every turn, and probably lose combat, but you will be steadfast. meanwhile your kroxigors cant be harmed and will dish out some hurt to the enemy elite unit, that it is ill equipped to handle.
for example you could use a unit 6 skinks wide with 3 kroxigors and a total of like 40 skinks. it takes a while for 40 guys to die, even if they are skinks. this can be used a sa "tarpit" to keep a unit busy, and possibly even win in the long run against small units of elites.
a very uncommon use for skrox units that i love is to use 1 krox with 11 skinks. thats 116 points with a musician (you could include a standard if you like). this unit is super fast and can handle most enemy fast units and archers and warmachines, and it can even keep a single character (PoK dreadlord would be ideal

) busy for a long time due to remaining steadfast.. however, it can also be used as a strikeforce to aid your saurui once they have entered combat. smack one of these babies in to the flank while sauri are at the front and you have yourself a nice vice to crush the enemy between. they can negate rank bonus, add charge and flank bonus and even (together with teh sauri) remove steadfast. it is a very unique unit in the game that is very underused.
So if you want a standard hack and slash unit, use sauri, or better yet, TG. Skrox are awesome, but at other things.