If you read too much, you can easily get inundated with information about lifting, and much of it is conflicting because one coach has this gimmick and the other has his, whatever.
It's part of the reason I like 5/3/1 - very simple and allows you to incorporate a lot into the supplementary training. Typically I have to cut mine back, because doing four exercises 5x10 leaves me too beat up to box.
This is my training log, you can see what I do regularly on here:
Generally, I stick with doing one main exercise and its supplemental work on a given day, which draws the program out to twice its current length of four weeks. However, I also don't take deload weeks with lifting, because of this.
So I'll do military press on monday, the associated supplement work, Deadlift on Tuesday, the associated supplement work, and then hit rows the following Monday, and squats the following Tuesday.
Doing two main lifts in one session is too much with the amount of time I spend boxing. Keep in mind - and Wendler has said this - that if you're a fighter, weightlifting is literally GPP. It's a supplement. That's it.
Focusing too much on lifting will detract from your ability to perform in the ring (or dojo) when it comes time for class/sparring/padwork whatever.
The good thing about 5/3/1 is that you'll keep making progress, even though it will be markedly slower, on two days a week. And you'll be able to accurately guage it as well. I really can't speak highly enough of this program, it is probably, aside from Dan John's OLAD, the best program I've ever done.