All evidence is shared by everyone. An evolutionary interpretation is not the only one, and it is not a satisfactory one for many scientific reasons.
http://creation.com/refuting-evolution-2-index
As for the age of the earth, it is curious that most people accept assurances that the earth is old, despite the fact that most dating methods suggest the earth is young.
These methods range across many different scientific disciplines.
http://creation.com/young-age-of-the-earth-universe-qa
The existence of short lived comets (they would not exist if the galaxy was old. The Oort cloud was invented to explain them, but has no observational support whatsoever.)
The recession of the moon. The moon is receding from the earth at about an inch each year. This puts an upper limit on the earth/moon system far less than 4.5 billion years.
The earth's magnetic field is decreasing, and has been measured for a hundred years of so. Extrapolating backwards puts a low upper limit on the age of life on earth. Life cannot survive in very high magnetic field.
Not enough salt in the sea. We can measure the inflow and outflow of salt. If the oceans had started with no salt they would have reached their current salinity in a short time.
The same method applies to dozens of other minerals too, not just salt.
Too much helium in rocks. Helium, being very light, escapes from rocks, yet is found in rocks alleged to be very ancient.
Too little helium in the upper atmosphere. This was pointed out in Nature as long ago as 1957.
Coal and diamonds contain carbon 14. Carbon 14 decays to immeasurable amounts in about 50000 years. Yet all coal and some diamonds (all alleged to be ancient) have been found to contain carbon 14.
And there are many others: Saturn’s rings defy old age explanations; There are different types of stars, and according to evolutionary theory there are the wrong number of the different types; Mercury is the densest planet and according to evolutionary theory should not be where it is; Mercury has a magnetic field, contrary to evolutionary predictions; the sun has far too little angular momentum for old-age evolutionary theories.
Dinosaur bones, alleged to be millions of years old, have been found containing red blood cells – hardly 65 million years old! (this has been documented by secular scientists – see National Geographic for example).
Much evidence for age is clearly faulty, and often involves radiometric dating. Rock from Mt St Helens volcano was dated as millions of years old when it is known to be just decades.
http://creation.com/radiometric-dating-questions-and-answers
Of course all dating methods rely on observations in the present and assumptions about the past. If there was one method indicating youth for every method indicating great age, then it would be reasonable to doubt the young earth methods. But there are 10 (or more) methods indicating youth for every method suggesting great age. One wonders why scientists not only ignore the majority of evidence, but actively suppress it.