More infections mean more chances to mutate into being able to spread human-human. I would expect a greater chance from the strain that's already spreading mammal to mammal, but human infections with any strain have a chance.
We have the technology and logistical infrastructure to stop this, but the incentive structure in this country is completely backwards for protecting health and safety. And that's very unlikely to chance any time soon. Get your masks ready.
The options from other responses are better (gel, cold shrink tubing), but just for your edification, sand in a box can work as an extremely effective insulator for a short period. So heat up the soldering iron and stick it in a bed of sand in a box to take it in with you. Most of the heat won't escape the box, but it will spread through the tool, so you'll definitely want gloves.