In terms of tariffs you're normally either a "protectionist" or for "free trade". That's sort of the two sides of that argument. There is some middle ground, but those are the extremes. It is not really related to regulations, that's more if you believe that the market is able to regulate itself, in terms of environmental impact, fair wages, safety and those sorts of things. The latter is the things which are impacted by firing regulatory enforces, or removing regulation altogether.
The Trump administration seems to run a protectionist policy, with a deregulated home market. This will hurt exports as it makes products more expensive, but also less likely to be able to comply with the regulations of other markets, e.g. in the EU, which is heavily regulated. US companies have a reduced incentive to comply with EU rules, if they know they have a protected market at home they can milk instead.