This week, President Trump officially launched his push to remove illegal aliens from state Medicaid rolls by cross-checking them against federal databases, a move that’s sure to send Democrats running to the courts yet again.

But when it comes to illegal immigrants and welfare, Democrats have a serious problem — and it’s not just their continuing slide in favorability.

It’s that they just can’t make up their minds about whether those here illegally are receiving federal Medicaid dollars at all.

When Congress was debating Trump’s One Big, Beautiful Bill Act, one of the left’s oft-repeated refrains was that there was no need to ban illegal aliens from Medicaid’s rolls — because giving them its benefits was already against the law.

They conveniently forgot to mention the 12 states that explicitly expanded non-emergency Medicaid coverage to illegal immigrants, and the other gaping loopholes being exploited nationwide.

But in June, Trump made a move that forced Democrats to drop the act and show their hand: His Health and Human Services Department began sharing Medicaid data from four states and Washington, DC, with US Immigration and Customs Enforcement.

When you add in the billions likely spent on non-emergency services in direct circumvention of federal law, the total figure of Medicaid resources going to illegal aliens is incalculable — an enormous transfer of wealth from Americans to non-citizens who shouldn’t be here at all.

Welfare benefits like Medicaid have been some of the strongest magnets spurring mass migration into this country and encouraging people to illegally stay.

Halting those perks, as Trump and Republicans in Congress are rightly doing, will do much to turn the magnet off.

Stealing from Medicaid is especially grievous because the program is intended to help America’s most vulnerable, including low-income children and people with disabilities.

When illegal aliens or other ineligible people take Medicaid, they not only suck up taxpayer resources, they reroute precious resources from legitimate Medicaid recipients who already have to compete for a limited pool of providers.

It’s downright despicable — yet Democrats in Congress and in at least 20 blue states seem more than happy to run interference to ensure that it continues.

Some Democrats are begging for their party to moderate after November’s resounding defeat.

Some — like New York City primary voters — are sprinting further to the left.

If they want to appeal to the majority of voters in the coming midterms, though, they need to get their Medicaid stories straight.