Hey, Swamp;
First, welcome!
From reading your first post a second time, just to make sure, I’d make the suggestion of probably a 6 wt rod. With that (especially if you add a Bass taper line in the future) you will be able to throw the larger poppers and clousers and weighted bugs you are gonna want to for the LM and white Bass you are talking about. With a 3x or 4x tapered leader, you will be right in there ready to fish them.
With the kit, you will probably get a 5x. That will be great for the smaller flies for the gills and such. That is what I had for a leader when I started the WW fishing. I didn’t use any tippet until I got back to the heavier taper and then added 2x, 3x or 4x depending on the fly I was using. Currently I seldom go lighter than a 4x leader and/or tippet, but that is just me. You probably won’t need to either, especially in murky water.
For extra tippet going forward, grab some 2x, 3x, 4x and maybe 5x (I do use mine on occasion, like smaller scuds or something on a dropper). That with a couple of 2x or 3x tapered leaders should do it for you.
The line with those cortland setups is usually their 333 line, which is a pretty good line. Heck, I use one on my 5wt. It was their top of the line offering 10 years ago or so. If it is the 333HT it is even better.
As for landing the larger fish when they hit, well, they are not gonna bust the rod, if you follow the articles by JC and LF recently that addressed that. If you are using the heavier tippet, you will be in good shape. If for some reason a 9lb LMB hits your scud on 5x, you will probably not even have to think about it, the bass will take care of things itself. (Found that on the 3wt a couple of weeks back.)
Anyway, to stop rambling, the outfit you are talking about will do the job. You may want heavier or lighter in the future for certain situations, but for starters, you’ll be in good shape.
Don