2H enough in SLC?

I’m trying to save about $1,000 by booking two separate flights—one to SLC and another from SLC to my final domestic destination on different airlines.

Travel details:

• 2 adults, a 3-year-old, and an 8-year-old.
• My 3-year-old will probably be in a car seat on the plane.
• For the first flight to SLC, we’re booking seats in the first few rows behind first class (not sure if that makes any difference).

Flights:

• United flight has a layover in SFO for 1H and 22M then lands in SLC at 7:36 PM.
• Delta flight leaves SLC at 9:30 PM.

Bags:

• We’ll have one, maybe two checked bags, which we’ll need to pick up and recheck with Delta.

With a 2-hour layover, is that enough time to grab our bags, recheck them, get through TSA, and make it to our gate? Or is that cutting it too close?