How to you handle underclass, i.e. people who become disabled or injured, move into a recession, can't meet the initial requirements, or some reason to not comply. With your requirement #1, #3 seems cruel. In most countries a work permit gets you basic access to the same welfare and worker protections (usually statutory retirement, unemployment insurance, health care) for this exact reason.
> If you break the law you will be separated from your family
Really depends what law you have broken, doesn't it? Under US immigration law crossing the border at the wrong place is punishable by $250 fine (8 U.S.C. Section 1325, I.N.A. Section 275). Many traffic violations have stricter penalties.
In early 2017 the Trump administration stopped accepting asylum applications at ports of entry and required asylum seekers to apply in the country (contrary to law). In April 2018 ICE started separating families of asylum seekers who had committed the grievous act of a) crossing the border b) requesting asylum from the first US official they encountered (a condition explicitly allowed in US asylum law)
> keeping children in cages ... 3 different presidents now
I think that's a false equivalency. The fucked up stuff ICE got away with under Obama is not the same as the fucked up shit Trump has given the green light to. The Trump admin is actively violating US immigration law to for no other apparent reason than a simple desire to be cruel to asylum seekers. https://www.thisamericanlife.org/688/the-out-crowd