I would train there, just be careful about what changes you make to your form. I think you can sort of put the TM split in the context of Westside style training. I've read that some guys doing Westside raw will not work up to a 1RM every week. They will do 5RM, 3RM's, etc sometimes. They also don't box squat all the time. They try to keep normal squats in the rotation every other week or every third week. Doing a little research about the conjugate method for raw lifters might help you devise a good workout plan that fits the mold of your new gym.
Look at your strengths/weaknesses too. If your squat is still moving up nicely, then maybe stick with your model on a split routine. Do a volume day and ME day. This should fit their DE/ME day type schedule. For your other lifts (bench/DL), you might want to try something different to see if it works better. Maybe just follow along with them for a couple of months on those lifts and see what happens.
The other option would be to train there on the ME days. You could do the volume/speed days at home.