"- is this a problem when anyway it will be filtered later? ". yes its a problem, strong AM signals will cross modulate your wanted carrier with their modulation. Once this is done there is no way of getting rid off it. Proper filters for receivers have bandwidths in the order of a few KHZ, which is why the superhet receiver is used for communication receivers, unfortunately this sort of bandwidth is very hard to achieve at 20 MHZ. I would Google "AARL" or RSGB" or "TRF". The American "ham" society, the British "HAM" society, tuned radio frequency receivers.
Frank
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Sorry I have just looked at you link. This is a regenerative receiver, which will work once trimmed, but I have doubts to its stability and linearity. It gets its selectivity by positive feed back acting as a Q multiplier on the coil, more Q more signal voltage across the tuned circuit. However the noise increases a lot and the question of stability, i.e. its gain will change with temperature and with supply voltage. its horses for courses, if you are trying to build a high quality RF voltmeter, do not use this. If you want to listen to a short wave station, then a good cost effective solution.
As an aside matching the aerial to your amplifier can be done with a PI network or a tapped tuned circuit - better then a 50 ohms, no power loss!
Frank