Calm Down.
The number 1 item in the President's proposal is Border Security. Almost all of the rest of BOTH the House and Senate bills can be tossed out because Border Security will take care of EVEN THOSE ALREADY HERE.
You see, many of those will self deport. They will have a parent die and attend the funeral. They will long to visit family and will go do so. Once they do, they can't get back in.
Frankly, the President's plan would be fine. It's all a matter of emphasis. Border Security is listed 1st, but it should also be talked about more than anything else. A strict guest worker plan will not encourage more influx if border security is good. I think most would accept some sort of guest worker plan, but let's arrange it to be on a schedule and that schedule would be . . . perhaps starting 3-4 years after Border Security has reduced the influx by 90% or some statistic like that.
Note that if the influx stops, the guest worker plan will have fewer and fewer participants as they endure their strict criminal punishment, pay their debt to society as former lawbreakers and become citizens.