This is right in my wheelhouse...
I have been in the clutch industry for 26 years. A few facts I have learned from my experience. The bearing in question is a "thrust type ball bearing". Basically a ball riding on grooved races on top and bottom of the ball. There is also what is known as an "angular contact/self-aligning" type bearing that doesn't "sandwich" the ball together like a thrust type bearing does.
Angular contact bearings are much better in applications where the concentricity of the load can vary somewhat. Thrust bearings only work in an environment where the load is pressing squarely and directly onto the bearing. Subjecting them to a non-concentric load will cause them to fail fairly quickly.
Timken - Does not make a ball bearing anything. Their expertise and products are in tapered roller bearings (i.e. cone/cup type bearings, integrated tapered rollers for wheel hub assemblies). Timken has to announce the Country of Origin (COO) on the label so if you are concerned about the manufacturing location of your parts, please look at the label first.
Aetna - Bearings are made in Franklin Park, Ill. They make many thrust-type ball bearings for Industrial, Automotive and Agriculture applications.
NTN/BCA - Makes a wide range of bearings, domestically and internationally.
I have had experience with all the above and numerous other Japanese (KOYO, Nachi), Chinese (GFX) and Korean (KBC) manufacturers. Usually, you get what you pay for, but don't just buy the highest priced part as you will not always get the value you think you are. Where it is made is not always the best indicator of the where the best quality comes from.
As to assembling the original collar onto a new bearing, simply press the old collar out (should come apart relatively easy) and when you want to reassemble, place the collar in the freezer for 30-45 minutes before pressing it into the new bearing. DO NOT heat the bearing as it is not necessary and could liquefy the grease. Also, DO NOT pound the collar into the bearing as it can damage the inner race if you overdo it.