Man, if they did not have those bladed weapons on their team I would say even the Turtles would eventually lose due to bleeding out, but with four of them and those katanas and sais that can do serious bodily damage on top of them while not being quite up there as Connors, pretty damn fast and strong themselves they can definitely make Connors give up I bet.
All 4, with weapons, would wreck Lizard horribly. If they gang up on him, they could chop him up in enough bits that even he couldn't heal. And the turtles are not exactly flimsy either. Based on the 45 second game spot trailer, Raph literally survives getting hit by a plane, without any actual visible damage, though the impact clearly stuns/dazes him. And we already know that some areas of their bodies are straight up bullet proof.
But wait.... the Lizard can control reptillian life forms and Turtles are "reptiles of the order Testudines"... even in ASM this was kinda shown in the sewers when the various lizards were screwing with Spidey's web/photo trap.
It may not be total mind control but it may be enough to dull their reactions and confuse them to a level where he can take them out.