First off, let me begin by thanking all of you for responding, especially capnscurvy!
Now, I was not successful tonight, but I made some progress (again).
I don't know why, but the JSGME does not function the same way as you guys have been explaining it. To explain what I mean, I am going to just break it down, what I do, step-by-step:
1. So, on my desktop, I have both the (ZIPPED) TMO and JSGME files.
2. I then unzip TMO file with 7zip to make the mod file appear on my desktop.
3. I move the (STILL ZIPPED) JSGME file to my main, SH4 Wolves of the Pacific directory.
4. I unzip the JSGME file with 7zip WITHIN my SH4 WOTP directory.
This is where things change.
5. When I do that, I do NOT get multiple folders/icons as scurvy indicated in his post and screenshot. What I do get is ONE folder called JSGME and within that folder I get another folder titled the same way, "JSGME" and within
THAT folder I get all the files Scurvy indicated with his screenshot.
Undaunted, I decide to move those four files (there's actually five files, with another called JSGMEHelp) to my main SH4WOTP directory.
So, to establish things, at this point, I have a very similar view of Scurvy's screenshot in front of me. The only difference is that I have that JSGME folder (now empty) and the JSGMEhelp as well. (I ended up deleting that empty JSGME folder, because it served no purpose.)
However, my impression of your guys' instructions was that when I UNZIPPED JSGME WITHIN my SH4WOTP directory, these files would already be created in my main directory. I did not anticipate having to drag and drop anything. So... I feel like something is really amiss at this point.
6. I then decided to active JSGME. At this point, i am going to copy and paste the instructions provided to me by this version:
1. Ensure that you have a clean, unmodded installation of your game, preferably with the latest patch(es) installed. If you are already running a prior version of the Generic Mod Enabler, disable all enabled mods.
2. Install the Generic Mod Enabler to your game's root folder and run once. You will be asked to enter a mods folder name. Unless your game already uses a folder called MODS, it is recommended that you simply press OK to accept the default MODS name. The chosen folder will be created if it does not already exist. At this point you should take a snapshot of your "clean" game files by selecting the "Generate snapshot of game files" option from the "Tasks..." list. This snapshot can be used to verify the integrity of the game files at a later date, after you have installed and uninstalled mods (see "Further notes on usage" for more information).
3. After downloading a mod, unzip it into a sub-folder under the MODS folder (call the sub-folder what you like, but use something that defines what the mod is). Note that the modder may have already set up the mod to be "JSGME compatible", in which case this step and the following step will be done for you. In such instances follow the installation instructions that come with the mod.
Ok, I underlined and put in bold a very important part of those instructions. Basically... none of that ever happens. I just open the program and it's there. I'm not asked to name a mod folder or anything like that.
Undaunted once again, I decided to place the TMO mod into the MOD folder provided to me within the JSGME folder (That was within a "JSGME" folder"--AND VOILA! It appears within the JSGME program! How exciting.
7. And this is where things get so, so sad.

. I use JSGME to add the mod to the game and... as far as I can see, it works! But, of course, when I launch the game, it's still vanilla, with expansion.
Okay, so now I am just going to provide some information:
I have Windows 7.
The JSGME verision is: v2.6.0.157
Now, I am going to ask a some questions:
The EXE file scurvy mentioned... am I suppose to use that to launch my game? Because, I've only been able to launch my game through steam. When i click that EXE file, a notepad program comes up with:
[MODS FOLDER]
Name=MODS
[JSGME DETAILS]
FullPath=C:\Program Files (x86)\Steam\SteamApps\common\Silent Hunters Wolves of the Pacific\JSGME.exe
[FORM SIZE]
Main Height=528
Main Left=190
Main Top=103
Main Width=676
Main WindowState=0