Incorporating military style PT with weight training

I have for a long time done beginner and intermediate linear progression programs like Starting Strength or The Texas Method. This usually means lifting weights every week, three times per week, full body each session. However, for the last two years or so I have only had enough time to get to the gym twice per week, and not as much dedication in the kitchen to keep up with these tough programs. Combine that with a desire for a bit more 'general fitness', a bit of a fixation on getting better at pushups and pullups, and a bit of admiration for the crazy levels of fitness of folks in the military, and I am looking for a way to incorporate more PT in to my workouts.

In high school I did the first few weeks of a 'Navy SEAL program' (here and here), and then of course quickly stopped doing it because I was lazy. It is composed of two nine-week blocks, with a running program, and a non-specific recommendation of swimming. Doing all of that is already a lot, but by the end of the 18 weeks one is doing 400 pushups per session!

I want to keep lifting weights in the gym, so I only want to add two days of PT; one on a day of lifting, and one on a day where I don't lift. Therefore the progress should be a bit slower. And I definitely don't want to be doing 400 total pushups per session. I made a program that is similar to the first 9 weeks of the Navy SEAL program, but progresses instead over 12 weeks, and includes dips a bit sooner.

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12 week PT program - parallel with weight training - 2x per week

WK#	Pushups	Situps	Dips	Pullups
1	4x15	4x15	0	3x3
2	4x15	4x15	0	3x3
3	5x15	5x15	0	3x4
4	5x15	5x15	0	3x4
5	5x20	5x20	0	2x6
6	5x20	5x20	0	2x6
7	6x20	6x20	2x6	2x8
8	6x20	6x20	2x8	2x8
9	6x25	6x25	2x10	2x10
10	6x25	6x25	3x10	2x10
11	6x30	6x30	3x12	3x10
12	6x30	6x30	3x15	3x10

3x10 is 3 sets of 10 repetitions. The pushups and situps are always identical, which is easy to remember. I plan to always do it as a circuit, in the order listed pushups-situps-dips-pullups and then repeat. The dips and pullups always have fewer sets than the pushups and situps, so one should spread them as equally as possible.

Let's see how the next 12 weeks go with this. I plan to do it on Thursday and Saturday, with lifting on Monday and Thursday still.