I truly do wish the general public would get behind his wish to clean out the business as usual that got us in the mess we are in today. He is our legally elected President and as such does deserve our support as he tries to get this country back on track.
While I don't want to get into a debate over this _particular_ President, I'm not sure I agree with you here as a matter of general principle. Without taking a position on Trump (aside from how his actions affect vaping, which I think is on-topic here) I'll just say that I do not believe it my duty to support a President or his policies simply because he won an election. You might think Trump is attempting to get the country back on track, and doing so effectively, and others might think he is derailing it. It is natural that you would support him in this case, and that they would oppose him. Again, I am not saying that I am on either side when it comes to Trump- just trying to get at a general principle.
That said, in response to OP:
I do not generally think that the Federal government should be in the business of protecting adults from self-imposed hazards like tobacco. But, if we posit that it should be (and we're way past the point of not accepting that, as things stand,) this policy does make sense, IMHO.
I think the evidence we have right now indicates that vaping is much less hazardous than smoking. If that's the case, and we do accept that the federal government should have sweeping regulatory power over products that contain nicotine, then it should probably use that poewer to punish smokers, but reward them for switching to vaping.
How would you do this? Tax cigarettes heavily (we already do,) don't tax or regulate vaping much at all (that's a tall order, but Gottlieb's statement seems to move at least a bit in that direction,) and make it easier to get a sufficient amount of nicotine from vaping than from cigarettes, probably by requiring cigs to phase out nicotine but allowing juice to contain arbitrary amounts.
I'm not saying I agree with this policy- I don't. I'd rather not have a nanny-state that tells me what I can and cannot do. But if you're _going_ to have a nanny-state you might at least have a sensible one, and the FDA deeming regulations are almost the opposite of what I describe... they reward smoking, and punish vaping. So while I'm, in principle, opposed to the policy Gottlieb seems to be outlining, I do not think it inconsistent, and actually think it better than the policies the Obama-era FDA put in place. I hope the deeming regs will go away soon, but I'm not sure I'm hopeful on that score.