Weight Lifting And Yoga: Can They be Done Together?

I would do yoga as the recovery/rest period after lifting. You could do it on alternate days or following your lifting routine.

I used to do yoga more but now I only go once a week. Sometimes I find certain poses difficult depending on what I worked the day before. What kind of yoga do you do? A more stretch light flow might be better if you do it often. You might have see how you do with it...if you feel fatigued you may want to cut down on yoga if SL is going to be your priority.

I lift and run on alternating days but I only do legs once per week because running is my priority and, to be honest, my legs look pretty darn good already. So I think that you may need to decide which is your priority and back down on the one that is secondary to your goals.

I did an intermediate/ advanced vinyasa flow class (high paced, lots of balance poses, insane amount of time in various forms of plank) in place of one SL workout each week. Doing 3 lifting sessions plus yoga was too tiring and time consuming, especially since it was just supposed to supplement my race training.
If I were you, I'd do a slow flow yoga class as a relaxation/ stretching time, rather than doing a strenuous strengthening class, and do 3 days of SL. Stick with the program.
Be prepared to not be able to steadily add weight at the rate the program recommends if you're doing a lot of cardio, though. SL is kinda designed to be a stand alone program. You may have to choose which is more of a priority, in terms of making big improvements- your lifts or your (I assume, based off your TM mention) running. I'm doing a strength maintenance plan during triathlon season, then returning to lower rep progressive strength training in the winter.
Just my $.02!

Are you doing hot or fast yoga? Maybe you're getting a cardio burn off that, but a slow yoga as my instructor says, is flexibility with spirituality. Flexibility without spirituality would be pilates.

My teacher gets a good laugh at his prison class (who get a big kick out of him, too by the way) watching the body builders try and stretch their arms over their heads. Their fast-twitch muscles are well-developed, but flexibility and holds, not so much.

I think the two types of workouts are highly compatible.

You can do both, if you can tolerate it.

The question is what are your priority's, yes you can do lots other forms of exercise with strength training, but doing to much may mean you may not make the same progress. Though this will depend on the intensity of the yoga, most serious strength athletes do mobility work on their rest days so doing light yoga would be fine, more intensive yoga may start to impact on progress. the big question is whats important to you?

You CAN do yoga, but you have to listen to your body and be strategic.

First, It really depends on the type of yoga class,and I don't mean vinyasa vs. hatha. A lot of vinyasa classes can be just as intense, they're based in the ashtanga tradition and they use a lot of weight-bearing poses (down dog/plank/chaturanga/up dog especially) to build heat in the practice. Those poses can really be the equivalent of weight lifting. I decided to transition and do more restorative yoga and yin yoga as part of my practice on days that I lift, or after a particularly intense lifting session.

I do power/vinyasa yoga as well, but generally only once a week or so, and generally after a leg day. I am a lot more likely to be sore due to lifting my body weight in the upper body with yoga vs. lower body. Lower body soreness is generally due to holding poses and stretching muscles past the current range of motion, so I find it less of a problem to do vinyasa or power yoga after leg day than a day when I do significant upper body work. Plus, after doing a ton of squats or deadlifts, I REALLY need to stretch the muscles in my hamstrings, glutes and quads.

I do both ashtanga and vinyasa yoga and have been lifting in conjunction to weight training (and crossfit) for a few years now. I practice directly after a weight training session because it has helped to elongate and restore proper blood flow to muscles that I spent time contracting with weight bearing activities. I know that if I just did legs I am not going to be mastering all of the warrior poses so I will do a milder variation of the pose as to not stress my weakened muscle tissues about but rather massage them an oxygenate with yoga and restorative breath. I don't think it is detrimental to do both by any means.