I have had success using helicoil to repair threads. Not on a thermostat housing though but on an 80 series engine block that holds the exhaust manifold on.
If I were in your shoes, I'd try to repair the threads with a helicoil and use carb studs in the lower housing. That way they stay put forever. You'd have nuts to loosen on the top when you'd need to change out the thermostat and gasket.
I did it on my 40 years ago and it's hold strong. Here's the 40 version. You'd need 4 studs and nuts for the 60 series.
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Here is the carb stud that I used, it's the shiny one on top. Was just comparing it to another stud in the pic.
Not sure on the nut part number, I think I had those laying around. There may be a part number in a thread in the 40 section.
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As far as removing the valves on the housing, use an O2 sensor socket. It has a slot on the side that will keep clear the plastic vacuum nipples. Use penetrating oil first then heat up the housing.
Cut off the vacuum hoses before all of this then after removal you can get the remnants of hose off the valves. Carefully get a pick under the vacuum line and carefully go around to loosen the hose from the nipple. Don't pry even the slightest or they will break.
Also, get another housing and keep as a spare.